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Finding the Third Proportional to 23,548,874.91 and 31,806,616.22

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Solution

The third proportional to 23,548,874.91 and 31,806,616.22 is: 42,960,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548,874.91 : 31,806,616.22 = 31,806,616.22 : x
  2. Step 2: Convert to fraction form
    23,548,874.91/31,806,616.22 = 31,806,616.22/x
  3. Step 3: Cross multiply
    23,548,874.91x = 31,806,616.22 × 31,806,616.22
  4. Step 4: Simplify right side
    23,548,874.91x = 1,011,660,835,286,850.50
  5. Step 5: Solve for x
    x = 1,011,660,835,286,850.50/23,548,874.91
  6. Step 6: Final answer
    x = 42,960,049.65

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.