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Finding the Third Proportional to 23,712,536.82 and 54,891,110.41

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Solution

The third proportional to 23,712,536.82 and 54,891,110.41 is: 127,065,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712,536.82 : 54,891,110.41 = 54,891,110.41 : x
  2. Step 2: Convert to fraction form
    23,712,536.82/54,891,110.41 = 54,891,110.41/x
  3. Step 3: Cross multiply
    23,712,536.82x = 54,891,110.41 × 54,891,110.41
  4. Step 4: Simplify right side
    23,712,536.82x = 3,013,034,002,327,585
  5. Step 5: Solve for x
    x = 3,013,034,002,327,585/23,712,536.82
  6. Step 6: Final answer
    x = 127,065,021.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.