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Finding the Third Proportional to 12,976,408.59 and 30,632,036.10

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Solution

The third proportional to 12,976,408.59 and 30,632,036.10 is: 72,309,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,976,408.59 : 30,632,036.10 = 30,632,036.10 : x
  2. Step 2: Convert to fraction form
    12,976,408.59/30,632,036.10 = 30,632,036.10/x
  3. Step 3: Cross multiply
    12,976,408.59x = 30,632,036.10 × 30,632,036.10
  4. Step 4: Simplify right side
    12,976,408.59x = 938,321,635,488,161.38
  5. Step 5: Solve for x
    x = 938,321,635,488,161.38/12,976,408.59
  6. Step 6: Final answer
    x = 72,309,809.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.