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Finding the Third Proportional to 730,414,374 and 1,486,337,832

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Solution

The third proportional to 730,414,374 and 1,486,337,832 is: 3,024,584,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,414,374 : 1,486,337,832 = 1,486,337,832 : x
  2. Step 2: Convert to fraction form
    730,414,374/1,486,337,832 = 1,486,337,832/x
  3. Step 3: Cross multiply
    730,414,374x = 1,486,337,832 × 1,486,337,832
  4. Step 4: Simplify right side
    730,414,374x = 2,209,200,150,834,460,160
  5. Step 5: Solve for x
    x = 2,209,200,150,834,460,160/730,414,374
  6. Step 6: Final answer
    x = 3,024,584,714.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.