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Finding the Third Proportional to 24,175,140 and 49,767,375

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Solution

The third proportional to 24,175,140 and 49,767,375 is: 102,452,007.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175,140 : 49,767,375 = 49,767,375 : x
  2. Step 2: Convert to fraction form
    24,175,140/49,767,375 = 49,767,375/x
  3. Step 3: Cross multiply
    24,175,140x = 49,767,375 × 49,767,375
  4. Step 4: Simplify right side
    24,175,140x = 2,476,791,614,390,625
  5. Step 5: Solve for x
    x = 2,476,791,614,390,625/24,175,140
  6. Step 6: Final answer
    x = 102,452,007.08

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.