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Finding the Third Proportional to 6,245,422.13 and 13,926,868.13

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Solution

The third proportional to 6,245,422.13 and 13,926,868.13 is: 31,055,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245,422.13 : 13,926,868.13 = 13,926,868.13 : x
  2. Step 2: Convert to fraction form
    6,245,422.13/13,926,868.13 = 13,926,868.13/x
  3. Step 3: Cross multiply
    6,245,422.13x = 13,926,868.13 × 13,926,868.13
  4. Step 4: Simplify right side
    6,245,422.13x = 193,957,655,771,141
  5. Step 5: Solve for x
    x = 193,957,655,771,141/6,245,422.13
  6. Step 6: Final answer
    x = 31,055,972.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.