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Finding the Third Proportional to 13,703,877 and 30,471,707.25

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Solution

The third proportional to 13,703,877 and 30,471,707.25 is: 67,756,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703,877 : 30,471,707.25 = 30,471,707.25 : x
  2. Step 2: Convert to fraction form
    13,703,877/30,471,707.25 = 30,471,707.25/x
  3. Step 3: Cross multiply
    13,703,877x = 30,471,707.25 × 30,471,707.25
  4. Step 4: Simplify right side
    13,703,877x = 928,524,942,729,702.50
  5. Step 5: Solve for x
    x = 928,524,942,729,702.50/13,703,877
  6. Step 6: Final answer
    x = 67,756,368.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.