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Finding the Third Proportional to 10,238,376 and 22,405,188

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Solution

The third proportional to 10,238,376 and 22,405,188 is: 49,030,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238,376 : 22,405,188 = 22,405,188 : x
  2. Step 2: Convert to fraction form
    10,238,376/22,405,188 = 22,405,188/x
  3. Step 3: Cross multiply
    10,238,376x = 22,405,188 × 22,405,188
  4. Step 4: Simplify right side
    10,238,376x = 501,992,449,315,344
  5. Step 5: Solve for x
    x = 501,992,449,315,344/10,238,376
  6. Step 6: Final answer
    x = 49,030,476.06

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Why These Related Problems?

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