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Finding the Third Proportional to 129,437,946 and 277,299,180

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Solution

The third proportional to 129,437,946 and 277,299,180 is: 594,067,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,437,946 : 277,299,180 = 277,299,180 : x
  2. Step 2: Convert to fraction form
    129,437,946/277,299,180 = 277,299,180/x
  3. Step 3: Cross multiply
    129,437,946x = 277,299,180 × 277,299,180
  4. Step 4: Simplify right side
    129,437,946x = 76,894,835,228,672,400
  5. Step 5: Solve for x
    x = 76,894,835,228,672,400/129,437,946
  6. Step 6: Final answer
    x = 594,067,177.40

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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.