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Finding the Third Proportional to 24,715,584 and 53,825,013

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Solution

The third proportional to 24,715,584 and 53,825,013 is: 117,218,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715,584 : 53,825,013 = 53,825,013 : x
  2. Step 2: Convert to fraction form
    24,715,584/53,825,013 = 53,825,013/x
  3. Step 3: Cross multiply
    24,715,584x = 53,825,013 × 53,825,013
  4. Step 4: Simplify right side
    24,715,584x = 2,897,132,024,450,169
  5. Step 5: Solve for x
    x = 2,897,132,024,450,169/24,715,584
  6. Step 6: Final answer
    x = 117,218,837.49

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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.