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Finding the Third Proportional to 35,397,151 and 77,228,455

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Solution

The third proportional to 35,397,151 and 77,228,455 is: 168,494,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,397,151 : 77,228,455 = 77,228,455 : x
  2. Step 2: Convert to fraction form
    35,397,151/77,228,455 = 77,228,455/x
  3. Step 3: Cross multiply
    35,397,151x = 77,228,455 × 77,228,455
  4. Step 4: Simplify right side
    35,397,151x = 5,964,234,261,687,025
  5. Step 5: Solve for x
    x = 5,964,234,261,687,025/35,397,151
  6. Step 6: Final answer
    x = 168,494,754.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.