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Finding the Third Proportional to 129,473,082 and 277,413,714

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Solution

The third proportional to 129,473,082 and 277,413,714 is: 594,396,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,473,082 : 277,413,714 = 277,413,714 : x
  2. Step 2: Convert to fraction form
    129,473,082/277,413,714 = 277,413,714/x
  3. Step 3: Cross multiply
    129,473,082x = 277,413,714 × 277,413,714
  4. Step 4: Simplify right side
    129,473,082x = 76,958,368,715,273,792
  5. Step 5: Solve for x
    x = 76,958,368,715,273,792/129,473,082
  6. Step 6: Final answer
    x = 594,396,669.38

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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.