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Finding the Third Proportional to 12,299,952,184 and 18,369,327,764

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Solution

The third proportional to 12,299,952,184 and 18,369,327,764 is: 27,433,619,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299,952,184 : 18,369,327,764 = 18,369,327,764 : x
  2. Step 2: Convert to fraction form
    12,299,952,184/18,369,327,764 = 18,369,327,764/x
  3. Step 3: Cross multiply
    12,299,952,184x = 18,369,327,764 × 18,369,327,764
  4. Step 4: Simplify right side
    12,299,952,184x = 337,432,202,501,261,230,080
  5. Step 5: Solve for x
    x = 337,432,202,501,261,230,080/12,299,952,184
  6. Step 6: Final answer
    x = 27,433,619,046.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.