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Finding the Third Proportional to 24,834,024 and 37,098,096

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Solution

The third proportional to 24,834,024 and 37,098,096 is: 55,418,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834,024 : 37,098,096 = 37,098,096 : x
  2. Step 2: Convert to fraction form
    24,834,024/37,098,096 = 37,098,096/x
  3. Step 3: Cross multiply
    24,834,024x = 37,098,096 × 37,098,096
  4. Step 4: Simplify right side
    24,834,024x = 1,376,268,726,825,216
  5. Step 5: Solve for x
    x = 1,376,268,726,825,216/24,834,024
  6. Step 6: Final answer
    x = 55,418,675.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.