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Finding the Third Proportional to 21,229,231.50 and 31,810,510.13

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Solution

The third proportional to 21,229,231.50 and 31,810,510.13 is: 47,665,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,229,231.50 : 31,810,510.13 = 31,810,510.13 : x
  2. Step 2: Convert to fraction form
    21,229,231.50/31,810,510.13 = 31,810,510.13/x
  3. Step 3: Cross multiply
    21,229,231.50x = 31,810,510.13 × 31,810,510.13
  4. Step 4: Simplify right side
    21,229,231.50x = 1,011,908,554,412,727.50
  5. Step 5: Solve for x
    x = 1,011,908,554,412,727.50/21,229,231.50
  6. Step 6: Final answer
    x = 47,665,811.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.