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Finding the Third Proportional to 7,707,186 and 17,847,549

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Solution

The third proportional to 7,707,186 and 17,847,549 is: 41,329,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707,186 : 17,847,549 = 17,847,549 : x
  2. Step 2: Convert to fraction form
    7,707,186/17,847,549 = 17,847,549/x
  3. Step 3: Cross multiply
    7,707,186x = 17,847,549 × 17,847,549
  4. Step 4: Simplify right side
    7,707,186x = 318,535,005,307,401
  5. Step 5: Solve for x
    x = 318,535,005,307,401/7,707,186
  6. Step 6: Final answer
    x = 41,329,611.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.