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Finding the Third Proportional to 681,687,765 and 1,472,337,324

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Solution

The third proportional to 681,687,765 and 1,472,337,324 is: 3,180,014,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,687,765 : 1,472,337,324 = 1,472,337,324 : x
  2. Step 2: Convert to fraction form
    681,687,765/1,472,337,324 = 1,472,337,324/x
  3. Step 3: Cross multiply
    681,687,765x = 1,472,337,324 × 1,472,337,324
  4. Step 4: Simplify right side
    681,687,765x = 2,167,777,195,643,481,088
  5. Step 5: Solve for x
    x = 2,167,777,195,643,481,088/681,687,765
  6. Step 6: Final answer
    x = 3,180,014,820.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.