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Finding the Third Proportional to 4,257,697 and 9,224,063

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Solution

The third proportional to 4,257,697 and 9,224,063 is: 19,983,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257,697 : 9,224,063 = 9,224,063 : x
  2. Step 2: Convert to fraction form
    4,257,697/9,224,063 = 9,224,063/x
  3. Step 3: Cross multiply
    4,257,697x = 9,224,063 × 9,224,063
  4. Step 4: Simplify right side
    4,257,697x = 85,083,338,227,969
  5. Step 5: Solve for x
    x = 85,083,338,227,969/4,257,697
  6. Step 6: Final answer
    x = 19,983,417.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.