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Finding the Third Proportional to 20,863,608.75 and 31,914,982.13

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Solution

The third proportional to 20,863,608.75 and 31,914,982.13 is: 48,820,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863,608.75 : 31,914,982.13 = 31,914,982.13 : x
  2. Step 2: Convert to fraction form
    20,863,608.75/31,914,982.13 = 31,914,982.13/x
  3. Step 3: Cross multiply
    20,863,608.75x = 31,914,982.13 × 31,914,982.13
  4. Step 4: Simplify right side
    20,863,608.75x = 1,018,566,084,039,069.50
  5. Step 5: Solve for x
    x = 1,018,566,084,039,069.50/20,863,608.75
  6. Step 6: Final answer
    x = 48,820,225.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.