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Finding the Third Proportional to 5,234,170 and 7,877,463

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Solution

The third proportional to 5,234,170 and 7,877,463 is: 11,855,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234,170 : 7,877,463 = 7,877,463 : x
  2. Step 2: Convert to fraction form
    5,234,170/7,877,463 = 7,877,463/x
  3. Step 3: Cross multiply
    5,234,170x = 7,877,463 × 7,877,463
  4. Step 4: Simplify right side
    5,234,170x = 62,054,423,316,369
  5. Step 5: Solve for x
    x = 62,054,423,316,369/5,234,170
  6. Step 6: Final answer
    x = 11,855,637.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.