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Finding the Third Proportional to 10,146,822 and 23,680,311

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Solution

The third proportional to 10,146,822 and 23,680,311 is: 55,264,311.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146,822 : 23,680,311 = 23,680,311 : x
  2. Step 2: Convert to fraction form
    10,146,822/23,680,311 = 23,680,311/x
  3. Step 3: Cross multiply
    10,146,822x = 23,680,311 × 23,680,311
  4. Step 4: Simplify right side
    10,146,822x = 560,757,129,056,721
  5. Step 5: Solve for x
    x = 560,757,129,056,721/10,146,822
  6. Step 6: Final answer
    x = 55,264,311.24

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.