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Finding the Third Proportional to 51,164,498 and 78,722,902

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Solution

The third proportional to 51,164,498 and 78,722,902 is: 121,124,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164,498 : 78,722,902 = 78,722,902 : x
  2. Step 2: Convert to fraction form
    51,164,498/78,722,902 = 78,722,902/x
  3. Step 3: Cross multiply
    51,164,498x = 78,722,902 × 78,722,902
  4. Step 4: Simplify right side
    51,164,498x = 6,197,295,299,301,604
  5. Step 5: Solve for x
    x = 6,197,295,299,301,604/51,164,498
  6. Step 6: Final answer
    x = 121,124,911.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.