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Finding the Third Proportional to 6,091,574,861,471.10 and 9,215,708,291,571.90

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Solution

The third proportional to 6,091,574,861,471.10 and 9,215,708,291,571.90 is: 13,942,089,073,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091,574,861,471.10 : 9,215,708,291,571.90 = 9,215,708,291,571.90 : x
  2. Step 2: Convert to fraction form
    6,091,574,861,471.10/9,215,708,291,571.90 = 9,215,708,291,571.90/x
  3. Step 3: Cross multiply
    6,091,574,861,471.10x = 9,215,708,291,571.90 × 9,215,708,291,571.90
  4. Step 4: Simplify right side
    6,091,574,861,471.10x = 84,929,279,315,347,076,762,566,656
  5. Step 5: Solve for x
    x = 84,929,279,315,347,076,762,566,656/6,091,574,861,471.10
  6. Step 6: Final answer
    x = 13,942,089,073,306.88

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