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Finding the Third Proportional to 12,146,076 and 18,344,592

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Solution

The third proportional to 12,146,076 and 18,344,592 is: 27,706,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146,076 : 18,344,592 = 18,344,592 : x
  2. Step 2: Convert to fraction form
    12,146,076/18,344,592 = 18,344,592/x
  3. Step 3: Cross multiply
    12,146,076x = 18,344,592 × 18,344,592
  4. Step 4: Simplify right side
    12,146,076x = 336,524,055,646,464
  5. Step 5: Solve for x
    x = 336,524,055,646,464/12,146,076
  6. Step 6: Final answer
    x = 27,706,401.28

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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.