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Finding the Third Proportional to 24,834,027 and 37,098,100.50

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Solution

The third proportional to 24,834,027 and 37,098,100.50 is: 55,418,682.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834,027 : 37,098,100.50 = 37,098,100.50 : x
  2. Step 2: Convert to fraction form
    24,834,027/37,098,100.50 = 37,098,100.50/x
  3. Step 3: Cross multiply
    24,834,027x = 37,098,100.50 × 37,098,100.50
  4. Step 4: Simplify right side
    24,834,027x = 1,376,269,060,708,100.25
  5. Step 5: Solve for x
    x = 1,376,269,060,708,100.25/24,834,027
  6. Step 6: Final answer
    x = 55,418,682.63

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Why These Related Problems?

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