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Finding the Third Proportional to 6,863,723.16 and 10,365,926.91

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Solution

The third proportional to 6,863,723.16 and 10,365,926.91 is: 15,655,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,723.16 : 10,365,926.91 = 10,365,926.91 : x
  2. Step 2: Convert to fraction form
    6,863,723.16/10,365,926.91 = 10,365,926.91/x
  3. Step 3: Cross multiply
    6,863,723.16x = 10,365,926.91 × 10,365,926.91
  4. Step 4: Simplify right side
    6,863,723.16x = 107,452,440,625,717.70
  5. Step 5: Solve for x
    x = 107,452,440,625,717.70/6,863,723.16
  6. Step 6: Final answer
    x = 15,655,124.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.