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Finding the Third Proportional to 3,642,365,530 and 7,837,162,868

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Solution

The third proportional to 3,642,365,530 and 7,837,162,868 is: 16,862,975,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642,365,530 : 7,837,162,868 = 7,837,162,868 : x
  2. Step 2: Convert to fraction form
    3,642,365,530/7,837,162,868 = 7,837,162,868/x
  3. Step 3: Cross multiply
    3,642,365,530x = 7,837,162,868 × 7,837,162,868
  4. Step 4: Simplify right side
    3,642,365,530x = 61,421,121,819,557,986,304
  5. Step 5: Solve for x
    x = 61,421,121,819,557,986,304/3,642,365,530
  6. Step 6: Final answer
    x = 16,862,975,808.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.