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Finding the Third Proportional to 10,669,674 and 25,178,837

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Solution

The third proportional to 10,669,674 and 25,178,837 is: 59,418,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669,674 : 25,178,837 = 25,178,837 : x
  2. Step 2: Convert to fraction form
    10,669,674/25,178,837 = 25,178,837/x
  3. Step 3: Cross multiply
    10,669,674x = 25,178,837 × 25,178,837
  4. Step 4: Simplify right side
    10,669,674x = 633,973,832,672,569
  5. Step 5: Solve for x
    x = 633,973,832,672,569/10,669,674
  6. Step 6: Final answer
    x = 59,418,294.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.