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Finding the Third Proportional to 4,969,744 and 10,647,776

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Solution

The third proportional to 4,969,744 and 10,647,776 is: 22,813,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969,744 : 10,647,776 = 10,647,776 : x
  2. Step 2: Convert to fraction form
    4,969,744/10,647,776 = 10,647,776/x
  3. Step 3: Cross multiply
    4,969,744x = 10,647,776 × 10,647,776
  4. Step 4: Simplify right side
    4,969,744x = 113,375,133,746,176
  5. Step 5: Solve for x
    x = 113,375,133,746,176/4,969,744
  6. Step 6: Final answer
    x = 22,813,073.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.