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Finding the Third Proportional to 3,972,056,473.50 and 8,428,288,912.50

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Solution

The third proportional to 3,972,056,473.50 and 8,428,288,912.50 is: 17,883,948,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972,056,473.50 : 8,428,288,912.50 = 8,428,288,912.50 : x
  2. Step 2: Convert to fraction form
    3,972,056,473.50/8,428,288,912.50 = 8,428,288,912.50/x
  3. Step 3: Cross multiply
    3,972,056,473.50x = 8,428,288,912.50 × 8,428,288,912.50
  4. Step 4: Simplify right side
    3,972,056,473.50x = 71,036,053,992,570,429,440
  5. Step 5: Solve for x
    x = 71,036,053,992,570,429,440/3,972,056,473.50
  6. Step 6: Final answer
    x = 17,883,948,646.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.