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Finding the Third Proportional to 129,963,788 and 285,433,612

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Solution

The third proportional to 129,963,788 and 285,433,612 is: 626,884,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,963,788 : 285,433,612 = 285,433,612 : x
  2. Step 2: Convert to fraction form
    129,963,788/285,433,612 = 285,433,612/x
  3. Step 3: Cross multiply
    129,963,788x = 285,433,612 × 285,433,612
  4. Step 4: Simplify right side
    129,963,788x = 81,472,346,859,366,544
  5. Step 5: Solve for x
    x = 81,472,346,859,366,544/129,963,788
  6. Step 6: Final answer
    x = 626,884,981.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.