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Finding the Third Proportional to 7,687,536 and 11,791,920

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Solution

The third proportional to 7,687,536 and 11,791,920 is: 18,087,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687,536 : 11,791,920 = 11,791,920 : x
  2. Step 2: Convert to fraction form
    7,687,536/11,791,920 = 11,791,920/x
  3. Step 3: Cross multiply
    7,687,536x = 11,791,920 × 11,791,920
  4. Step 4: Simplify right side
    7,687,536x = 139,049,377,286,400
  5. Step 5: Solve for x
    x = 139,049,377,286,400/7,687,536
  6. Step 6: Final answer
    x = 18,087,639.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.