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Finding the Third Proportional to 11,581,474 and 25,069,364

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Solution

The third proportional to 11,581,474 and 25,069,364 is: 54,265,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581,474 : 25,069,364 = 25,069,364 : x
  2. Step 2: Convert to fraction form
    11,581,474/25,069,364 = 25,069,364/x
  3. Step 3: Cross multiply
    11,581,474x = 25,069,364 × 25,069,364
  4. Step 4: Simplify right side
    11,581,474x = 628,473,011,364,496
  5. Step 5: Solve for x
    x = 628,473,011,364,496/11,581,474
  6. Step 6: Final answer
    x = 54,265,373.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.