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Finding the Third Proportional to 766,478,351 and 1,148,442,397

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Solution

The third proportional to 766,478,351 and 1,148,442,397 is: 1,720,753,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,478,351 : 1,148,442,397 = 1,148,442,397 : x
  2. Step 2: Convert to fraction form
    766,478,351/1,148,442,397 = 1,148,442,397/x
  3. Step 3: Cross multiply
    766,478,351x = 1,148,442,397 × 1,148,442,397
  4. Step 4: Simplify right side
    766,478,351x = 1,318,919,939,227,105,536
  5. Step 5: Solve for x
    x = 1,318,919,939,227,105,536/766,478,351
  6. Step 6: Final answer
    x = 1,720,753,022.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.