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Finding the Third Proportional to 129,502,692 and 277,466,742

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Solution

The third proportional to 129,502,692 and 277,466,742 is: 594,487,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,502,692 : 277,466,742 = 277,466,742 : x
  2. Step 2: Convert to fraction form
    129,502,692/277,466,742 = 277,466,742/x
  3. Step 3: Cross multiply
    129,502,692x = 277,466,742 × 277,466,742
  4. Step 4: Simplify right side
    129,502,692x = 76,987,792,916,094,560
  5. Step 5: Solve for x
    x = 76,987,792,916,094,560/129,502,692
  6. Step 6: Final answer
    x = 594,487,973.39

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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.