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Finding the Third Proportional to 11,754,723.75 and 24,931,731.75

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Solution

The third proportional to 11,754,723.75 and 24,931,731.75 is: 52,880,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754,723.75 : 24,931,731.75 = 24,931,731.75 : x
  2. Step 2: Convert to fraction form
    11,754,723.75/24,931,731.75 = 24,931,731.75/x
  3. Step 3: Cross multiply
    11,754,723.75x = 24,931,731.75 × 24,931,731.75
  4. Step 4: Simplify right side
    11,754,723.75x = 621,591,248,053,958
  5. Step 5: Solve for x
    x = 621,591,248,053,958/11,754,723.75
  6. Step 6: Final answer
    x = 52,880,123.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.