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Finding the Third Proportional to 7,071,797 and 15,175,858

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Solution

The third proportional to 7,071,797 and 15,175,858 is: 32,566,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071,797 : 15,175,858 = 15,175,858 : x
  2. Step 2: Convert to fraction form
    7,071,797/15,175,858 = 15,175,858/x
  3. Step 3: Cross multiply
    7,071,797x = 15,175,858 × 15,175,858
  4. Step 4: Simplify right side
    7,071,797x = 230,306,666,036,164
  5. Step 5: Solve for x
    x = 230,306,666,036,164/7,071,797
  6. Step 6: Final answer
    x = 32,566,922.67

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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.