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Finding the Third Proportional to 24,313,506 and 51,881,268

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Solution

The third proportional to 24,313,506 and 51,881,268 is: 110,706,615.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313,506 : 51,881,268 = 51,881,268 : x
  2. Step 2: Convert to fraction form
    24,313,506/51,881,268 = 51,881,268/x
  3. Step 3: Cross multiply
    24,313,506x = 51,881,268 × 51,881,268
  4. Step 4: Simplify right side
    24,313,506x = 2,691,665,969,287,824
  5. Step 5: Solve for x
    x = 2,691,665,969,287,824/24,313,506
  6. Step 6: Final answer
    x = 110,706,615.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.