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Finding the Third Proportional to 730,471,814 and 1,564,375,352

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Solution

The third proportional to 730,471,814 and 1,564,375,352 is: 3,350,259,647.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,471,814 : 1,564,375,352 = 1,564,375,352 : x
  2. Step 2: Convert to fraction form
    730,471,814/1,564,375,352 = 1,564,375,352/x
  3. Step 3: Cross multiply
    730,471,814x = 1,564,375,352 × 1,564,375,352
  4. Step 4: Simplify right side
    730,471,814x = 2,447,270,241,945,123,840
  5. Step 5: Solve for x
    x = 2,447,270,241,945,123,840/730,471,814
  6. Step 6: Final answer
    x = 3,350,259,647.31

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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.