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Finding the Third Proportional to 24,781,583 and 53,681,097

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Solution

The third proportional to 24,781,583 and 53,681,097 is: 116,282,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781,583 : 53,681,097 = 53,681,097 : x
  2. Step 2: Convert to fraction form
    24,781,583/53,681,097 = 53,681,097/x
  3. Step 3: Cross multiply
    24,781,583x = 53,681,097 × 53,681,097
  4. Step 4: Simplify right side
    24,781,583x = 2,881,660,175,123,409
  5. Step 5: Solve for x
    x = 2,881,660,175,123,409/24,781,583
  6. Step 6: Final answer
    x = 116,282,328.50

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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.