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Finding the Third Proportional to 3,811,137,066 and 8,255,417,324

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Solution

The third proportional to 3,811,137,066 and 8,255,417,324 is: 17,882,304,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811,137,066 : 8,255,417,324 = 8,255,417,324 : x
  2. Step 2: Convert to fraction form
    3,811,137,066/8,255,417,324 = 8,255,417,324/x
  3. Step 3: Cross multiply
    3,811,137,066x = 8,255,417,324 × 8,255,417,324
  4. Step 4: Simplify right side
    3,811,137,066x = 68,151,915,193,399,320,576
  5. Step 5: Solve for x
    x = 68,151,915,193,399,320,576/3,811,137,066
  6. Step 6: Final answer
    x = 17,882,304,942.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.