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Finding the Third Proportional to 2,388,677 and 5,197,251

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Solution

The third proportional to 2,388,677 and 5,197,251 is: 11,308,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,677 : 5,197,251 = 5,197,251 : x
  2. Step 2: Convert to fraction form
    2,388,677/5,197,251 = 5,197,251/x
  3. Step 3: Cross multiply
    2,388,677x = 5,197,251 × 5,197,251
  4. Step 4: Simplify right side
    2,388,677x = 27,011,417,957,001
  5. Step 5: Solve for x
    x = 27,011,417,957,001/2,388,677
  6. Step 6: Final answer
    x = 11,308,108.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.