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Finding the Third Proportional to 130,441,006 and 284,320,822

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Solution

The third proportional to 130,441,006 and 284,320,822 is: 619,730,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,441,006 : 284,320,822 = 284,320,822 : x
  2. Step 2: Convert to fraction form
    130,441,006/284,320,822 = 284,320,822/x
  3. Step 3: Cross multiply
    130,441,006x = 284,320,822 × 284,320,822
  4. Step 4: Simplify right side
    130,441,006x = 80,838,329,822,755,680
  5. Step 5: Solve for x
    x = 80,838,329,822,755,680/130,441,006
  6. Step 6: Final answer
    x = 619,730,959.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.