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Finding the Third Proportional to 10,807,414 and 23,609,351

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Solution

The third proportional to 10,807,414 and 23,609,351 is: 51,575,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807,414 : 23,609,351 = 23,609,351 : x
  2. Step 2: Convert to fraction form
    10,807,414/23,609,351 = 23,609,351/x
  3. Step 3: Cross multiply
    10,807,414x = 23,609,351 × 23,609,351
  4. Step 4: Simplify right side
    10,807,414x = 557,401,454,641,201
  5. Step 5: Solve for x
    x = 557,401,454,641,201/10,807,414
  6. Step 6: Final answer
    x = 51,575,839.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.