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Finding the Third Proportional to 7,942,718.34 and 17,342,019.19

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Solution

The third proportional to 7,942,718.34 and 17,342,019.19 is: 37,864,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942,718.34 : 17,342,019.19 = 17,342,019.19 : x
  2. Step 2: Convert to fraction form
    7,942,718.34/17,342,019.19 = 17,342,019.19/x
  3. Step 3: Cross multiply
    7,942,718.34x = 17,342,019.19 × 17,342,019.19
  4. Step 4: Simplify right side
    7,942,718.34x = 300,745,629,499,618.19
  5. Step 5: Solve for x
    x = 300,745,629,499,618.19/7,942,718.34
  6. Step 6: Final answer
    x = 37,864,320.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.