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Finding the Third Proportional to 1,807,530,401,641.50 and 3,932,781,210,992.20

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Solution

The third proportional to 1,807,530,401,641.50 and 3,932,781,210,992.20 is: 8,556,850,849,915.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,530,401,641.50 : 3,932,781,210,992.20 = 3,932,781,210,992.20 : x
  2. Step 2: Convert to fraction form
    1,807,530,401,641.50/3,932,781,210,992.20 = 3,932,781,210,992.20/x
  3. Step 3: Cross multiply
    1,807,530,401,641.50x = 3,932,781,210,992.20 × 3,932,781,210,992.20
  4. Step 4: Simplify right side
    1,807,530,401,641.50x = 15,466,768,053,533,276,169,568,256
  5. Step 5: Solve for x
    x = 15,466,768,053,533,276,169,568,256/1,807,530,401,641.50
  6. Step 6: Final answer
    x = 8,556,850,849,915.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.