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Finding the Third Proportional to 10,044,538,452 and 15,677,138,124

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Solution

The third proportional to 10,044,538,452 and 15,677,138,124 is: 24,468,288,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044,538,452 : 15,677,138,124 = 15,677,138,124 : x
  2. Step 2: Convert to fraction form
    10,044,538,452/15,677,138,124 = 15,677,138,124/x
  3. Step 3: Cross multiply
    10,044,538,452x = 15,677,138,124 × 15,677,138,124
  4. Step 4: Simplify right side
    10,044,538,452x = 245,772,659,758,974,238,720
  5. Step 5: Solve for x
    x = 245,772,659,758,974,238,720/10,044,538,452
  6. Step 6: Final answer
    x = 24,468,288,008.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.