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Finding the Third Proportional to 7,852,496 and 11,731,836

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Solution

The third proportional to 7,852,496 and 11,731,836 is: 17,527,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,496 : 11,731,836 = 11,731,836 : x
  2. Step 2: Convert to fraction form
    7,852,496/11,731,836 = 11,731,836/x
  3. Step 3: Cross multiply
    7,852,496x = 11,731,836 × 11,731,836
  4. Step 4: Simplify right side
    7,852,496x = 137,635,975,930,896
  5. Step 5: Solve for x
    x = 137,635,975,930,896/7,852,496
  6. Step 6: Final answer
    x = 17,527,672.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.