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Finding the Third Proportional to 3,719,198,361 and 8,092,142,415.75

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Solution

The third proportional to 3,719,198,361 and 8,092,142,415.75 is: 17,606,689,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719,198,361 : 8,092,142,415.75 = 8,092,142,415.75 : x
  2. Step 2: Convert to fraction form
    3,719,198,361/8,092,142,415.75 = 8,092,142,415.75/x
  3. Step 3: Cross multiply
    3,719,198,361x = 8,092,142,415.75 × 8,092,142,415.75
  4. Step 4: Simplify right side
    3,719,198,361x = 65,482,768,876,780,249,088
  5. Step 5: Solve for x
    x = 65,482,768,876,780,249,088/3,719,198,361
  6. Step 6: Final answer
    x = 17,606,689,001.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.