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Finding the Third Proportional to 9,143,900.16 and 12,538,788.61

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Solution

The third proportional to 9,143,900.16 and 12,538,788.61 is: 17,194,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143,900.16 : 12,538,788.61 = 12,538,788.61 : x
  2. Step 2: Convert to fraction form
    9,143,900.16/12,538,788.61 = 12,538,788.61/x
  3. Step 3: Cross multiply
    9,143,900.16x = 12,538,788.61 × 12,538,788.61
  4. Step 4: Simplify right side
    9,143,900.16x = 157,221,219,790,592.25
  5. Step 5: Solve for x
    x = 157,221,219,790,592.25/9,143,900.16
  6. Step 6: Final answer
    x = 17,194,109.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.