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Finding the Third Proportional to 6,091,574,861,722.80 and 9,215,708,291,923.20

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Solution

The third proportional to 6,091,574,861,722.80 and 9,215,708,291,923.20 is: 13,942,089,073,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091,574,861,722.80 : 9,215,708,291,923.20 = 9,215,708,291,923.20 : x
  2. Step 2: Convert to fraction form
    6,091,574,861,722.80/9,215,708,291,923.20 = 9,215,708,291,923.20/x
  3. Step 3: Cross multiply
    6,091,574,861,722.80x = 9,215,708,291,923.20 × 9,215,708,291,923.20
  4. Step 4: Simplify right side
    6,091,574,861,722.80x = 84,929,279,321,822,014,839,193,600
  5. Step 5: Solve for x
    x = 84,929,279,321,822,014,839,193,600/6,091,574,861,722.80
  6. Step 6: Final answer
    x = 13,942,089,073,793.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.