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Finding the Third Proportional to 24,729,414 and 53,575,242

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Solution

The third proportional to 24,729,414 and 53,575,242 is: 116,068,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729,414 : 53,575,242 = 53,575,242 : x
  2. Step 2: Convert to fraction form
    24,729,414/53,575,242 = 53,575,242/x
  3. Step 3: Cross multiply
    24,729,414x = 53,575,242 × 53,575,242
  4. Step 4: Simplify right side
    24,729,414x = 2,870,306,555,358,564
  5. Step 5: Solve for x
    x = 2,870,306,555,358,564/24,729,414
  6. Step 6: Final answer
    x = 116,068,522.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.