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Finding the Third Proportional to 65,943,508 and 100,873,464

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Solution

The third proportional to 65,943,508 and 100,873,464 is: 154,305,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,943,508 : 100,873,464 = 100,873,464 : x
  2. Step 2: Convert to fraction form
    65,943,508/100,873,464 = 100,873,464/x
  3. Step 3: Cross multiply
    65,943,508x = 100,873,464 × 100,873,464
  4. Step 4: Simplify right side
    65,943,508x = 10,175,455,739,359,296
  5. Step 5: Solve for x
    x = 10,175,455,739,359,296/65,943,508
  6. Step 6: Final answer
    x = 154,305,648.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.