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Finding the Third Proportional to 10,224,782 and 22,405,048

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Solution

The third proportional to 10,224,782 and 22,405,048 is: 49,095,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224,782 : 22,405,048 = 22,405,048 : x
  2. Step 2: Convert to fraction form
    10,224,782/22,405,048 = 22,405,048/x
  3. Step 3: Cross multiply
    10,224,782x = 22,405,048 × 22,405,048
  4. Step 4: Simplify right side
    10,224,782x = 501,986,175,882,304
  5. Step 5: Solve for x
    x = 501,986,175,882,304/10,224,782
  6. Step 6: Final answer
    x = 49,095,049.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.