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Finding the Third Proportional to 817,065,781 and 1,747,727,068

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Solution

The third proportional to 817,065,781 and 1,747,727,068 is: 3,738,438,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,065,781 : 1,747,727,068 = 1,747,727,068 : x
  2. Step 2: Convert to fraction form
    817,065,781/1,747,727,068 = 1,747,727,068/x
  3. Step 3: Cross multiply
    817,065,781x = 1,747,727,068 × 1,747,727,068
  4. Step 4: Simplify right side
    817,065,781x = 3,054,549,904,219,876,864
  5. Step 5: Solve for x
    x = 3,054,549,904,219,876,864/817,065,781
  6. Step 6: Final answer
    x = 3,738,438,171.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.