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Finding the Third Proportional to 129,473,049 and 277,413,650

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Solution

The third proportional to 129,473,049 and 277,413,650 is: 594,396,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,473,049 : 277,413,650 = 277,413,650 : x
  2. Step 2: Convert to fraction form
    129,473,049/277,413,650 = 277,413,650/x
  3. Step 3: Cross multiply
    129,473,049x = 277,413,650 × 277,413,650
  4. Step 4: Simplify right side
    129,473,049x = 76,958,333,206,322,496
  5. Step 5: Solve for x
    x = 76,958,333,206,322,496/129,473,049
  6. Step 6: Final answer
    x = 594,396,546.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.