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Finding the Third Proportional to 20,139,100.88 and 30,973,195.13

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Solution

The third proportional to 20,139,100.88 and 30,973,195.13 is: 47,635,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139,100.88 : 30,973,195.13 = 30,973,195.13 : x
  2. Step 2: Convert to fraction form
    20,139,100.88/30,973,195.13 = 30,973,195.13/x
  3. Step 3: Cross multiply
    20,139,100.88x = 30,973,195.13 × 30,973,195.13
  4. Step 4: Simplify right side
    20,139,100.88x = 959,338,816,251,323.75
  5. Step 5: Solve for x
    x = 959,338,816,251,323.75/20,139,100.88
  6. Step 6: Final answer
    x = 47,635,632.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.