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Finding the Third Proportional to 7,071,795 and 15,175,854

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Solution

The third proportional to 7,071,795 and 15,175,854 is: 32,566,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,795 : 15,175,854 = 15,175,854 : x
  2. Step 2: Convert to fraction form
    7,071,795/15,175,854 = 15,175,854/x
  3. Step 3: Cross multiply
    7,071,795x = 15,175,854 × 15,175,854
  4. Step 4: Simplify right side
    7,071,795x = 230,306,544,629,316
  5. Step 5: Solve for x
    x = 230,306,544,629,316/7,071,795
  6. Step 6: Final answer
    x = 32,566,914.71

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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.