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Finding the Third Proportional to 130,294,536 and 271,306,552

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Solution

The third proportional to 130,294,536 and 271,306,552 is: 564,929,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,294,536 : 271,306,552 = 271,306,552 : x
  2. Step 2: Convert to fraction form
    130,294,536/271,306,552 = 271,306,552/x
  3. Step 3: Cross multiply
    130,294,536x = 271,306,552 × 271,306,552
  4. Step 4: Simplify right side
    130,294,536x = 73,607,245,158,128,704
  5. Step 5: Solve for x
    x = 73,607,245,158,128,704/130,294,536
  6. Step 6: Final answer
    x = 564,929,638.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.