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Finding the Third Proportional to 4,847,496 and 7,516,215

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Solution

The third proportional to 4,847,496 and 7,516,215 is: 11,654,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847,496 : 7,516,215 = 7,516,215 : x
  2. Step 2: Convert to fraction form
    4,847,496/7,516,215 = 7,516,215/x
  3. Step 3: Cross multiply
    4,847,496x = 7,516,215 × 7,516,215
  4. Step 4: Simplify right side
    4,847,496x = 56,493,487,926,225
  5. Step 5: Solve for x
    x = 56,493,487,926,225/4,847,496
  6. Step 6: Final answer
    x = 11,654,158.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.