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Finding the Third Proportional to 817,065,778.50 and 1,747,727,064

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Solution

The third proportional to 817,065,778.50 and 1,747,727,064 is: 3,738,438,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,065,778.50 : 1,747,727,064 = 1,747,727,064 : x
  2. Step 2: Convert to fraction form
    817,065,778.50/1,747,727,064 = 1,747,727,064/x
  3. Step 3: Cross multiply
    817,065,778.50x = 1,747,727,064 × 1,747,727,064
  4. Step 4: Simplify right side
    817,065,778.50x = 3,054,549,890,238,060,032
  5. Step 5: Solve for x
    x = 3,054,549,890,238,060,032/817,065,778.50
  6. Step 6: Final answer
    x = 3,738,438,165.71

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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.