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Finding the Third Proportional to 24,753,006 and 53,765,772.75

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Solution

The third proportional to 24,753,006 and 53,765,772.75 is: 116,784,131.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,753,006 : 53,765,772.75 = 53,765,772.75 : x
  2. Step 2: Convert to fraction form
    24,753,006/53,765,772.75 = 53,765,772.75/x
  3. Step 3: Cross multiply
    24,753,006x = 53,765,772.75 × 53,765,772.75
  4. Step 4: Simplify right side
    24,753,006x = 2,890,758,319,404,642.50
  5. Step 5: Solve for x
    x = 2,890,758,319,404,642.50/24,753,006
  6. Step 6: Final answer
    x = 116,784,131.97

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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.