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Finding the Third Proportional to 8,286,160 and 19,532,785

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Solution

The third proportional to 8,286,160 and 19,532,785 is: 46,044,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286,160 : 19,532,785 = 19,532,785 : x
  2. Step 2: Convert to fraction form
    8,286,160/19,532,785 = 19,532,785/x
  3. Step 3: Cross multiply
    8,286,160x = 19,532,785 × 19,532,785
  4. Step 4: Simplify right side
    8,286,160x = 381,529,689,856,225
  5. Step 5: Solve for x
    x = 381,529,689,856,225/8,286,160
  6. Step 6: Final answer
    x = 46,044,209.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.