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Finding the Third Proportional to 129,472,954 and 277,413,462

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Solution

The third proportional to 129,472,954 and 277,413,462 is: 594,396,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,472,954 : 277,413,462 = 277,413,462 : x
  2. Step 2: Convert to fraction form
    129,472,954/277,413,462 = 277,413,462/x
  3. Step 3: Cross multiply
    129,472,954x = 277,413,462 × 277,413,462
  4. Step 4: Simplify right side
    129,472,954x = 76,958,228,898,825,440
  5. Step 5: Solve for x
    x = 76,958,228,898,825,440/129,472,954
  6. Step 6: Final answer
    x = 594,396,177.13

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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.