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Finding the Third Proportional to 7,071,802 and 15,175,866

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Solution

The third proportional to 7,071,802 and 15,175,866 is: 32,566,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,802 : 15,175,866 = 15,175,866 : x
  2. Step 2: Convert to fraction form
    7,071,802/15,175,866 = 15,175,866/x
  3. Step 3: Cross multiply
    7,071,802x = 15,175,866 × 15,175,866
  4. Step 4: Simplify right side
    7,071,802x = 230,306,908,849,956
  5. Step 5: Solve for x
    x = 230,306,908,849,956/7,071,802
  6. Step 6: Final answer
    x = 32,566,933.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.