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Finding the Third Proportional to 9,154,806 and 13,451,949

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Solution

The third proportional to 9,154,806 and 13,451,949 is: 19,766,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154,806 : 13,451,949 = 13,451,949 : x
  2. Step 2: Convert to fraction form
    9,154,806/13,451,949 = 13,451,949/x
  3. Step 3: Cross multiply
    9,154,806x = 13,451,949 × 13,451,949
  4. Step 4: Simplify right side
    9,154,806x = 180,954,931,898,601
  5. Step 5: Solve for x
    x = 180,954,931,898,601/9,154,806
  6. Step 6: Final answer
    x = 19,766,113.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.