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Finding the Third Proportional to 1,337,820,396 and 2,880,658,904

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Solution

The third proportional to 1,337,820,396 and 2,880,658,904 is: 6,202,772,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,820,396 : 2,880,658,904 = 2,880,658,904 : x
  2. Step 2: Convert to fraction form
    1,337,820,396/2,880,658,904 = 2,880,658,904/x
  3. Step 3: Cross multiply
    1,337,820,396x = 2,880,658,904 × 2,880,658,904
  4. Step 4: Simplify right side
    1,337,820,396x = 8,298,195,721,194,481,664
  5. Step 5: Solve for x
    x = 8,298,195,721,194,481,664/1,337,820,396
  6. Step 6: Final answer
    x = 6,202,772,618.81

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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.