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Finding the Third Proportional to 730,471,815 and 1,564,375,354

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Solution

The third proportional to 730,471,815 and 1,564,375,354 is: 3,350,259,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,471,815 : 1,564,375,354 = 1,564,375,354 : x
  2. Step 2: Convert to fraction form
    730,471,815/1,564,375,354 = 1,564,375,354/x
  3. Step 3: Cross multiply
    730,471,815x = 1,564,375,354 × 1,564,375,354
  4. Step 4: Simplify right side
    730,471,815x = 2,447,270,248,202,625,536
  5. Step 5: Solve for x
    x = 2,447,270,248,202,625,536/730,471,815
  6. Step 6: Final answer
    x = 3,350,259,651.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.