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Finding the Third Proportional to 129,502,700 and 277,466,758

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Solution

The third proportional to 129,502,700 and 277,466,758 is: 594,488,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,502,700 : 277,466,758 = 277,466,758 : x
  2. Step 2: Convert to fraction form
    129,502,700/277,466,758 = 277,466,758/x
  3. Step 3: Cross multiply
    129,502,700x = 277,466,758 × 277,466,758
  4. Step 4: Simplify right side
    129,502,700x = 76,987,801,795,030,560
  5. Step 5: Solve for x
    x = 76,987,801,795,030,560/129,502,700
  6. Step 6: Final answer
    x = 594,488,005.23

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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.