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Finding the Third Proportional to 51,392,820 and 111,253,701

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Solution

The third proportional to 51,392,820 and 111,253,701 is: 240,838,817.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,392,820 : 111,253,701 = 111,253,701 : x
  2. Step 2: Convert to fraction form
    51,392,820/111,253,701 = 111,253,701/x
  3. Step 3: Cross multiply
    51,392,820x = 111,253,701 × 111,253,701
  4. Step 4: Simplify right side
    51,392,820x = 12,377,385,986,197,400
  5. Step 5: Solve for x
    x = 12,377,385,986,197,400/51,392,820
  6. Step 6: Final answer
    x = 240,838,817.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.