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Finding the Third Proportional to 32,781,284,588 and 70,534,456,312

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Solution

The third proportional to 32,781,284,588 and 70,534,456,312 is: 151,766,765,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781,284,588 : 70,534,456,312 = 70,534,456,312 : x
  2. Step 2: Convert to fraction form
    32,781,284,588/70,534,456,312 = 70,534,456,312/x
  3. Step 3: Cross multiply
    32,781,284,588x = 70,534,456,312 × 70,534,456,312
  4. Step 4: Simplify right side
    32,781,284,588x = 4,975,109,527,229,437,050,880
  5. Step 5: Solve for x
    x = 4,975,109,527,229,437,050,880/32,781,284,588
  6. Step 6: Final answer
    x = 151,766,765,389.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.