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Finding the Third Proportional to 5,102,163 and 7,899,705

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Solution

The third proportional to 5,102,163 and 7,899,705 is: 12,231,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,163 : 7,899,705 = 7,899,705 : x
  2. Step 2: Convert to fraction form
    5,102,163/7,899,705 = 7,899,705/x
  3. Step 3: Cross multiply
    5,102,163x = 7,899,705 × 7,899,705
  4. Step 4: Simplify right side
    5,102,163x = 62,405,339,087,025
  5. Step 5: Solve for x
    x = 62,405,339,087,025/5,102,163
  6. Step 6: Final answer
    x = 12,231,153.55

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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.