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Finding the Third Proportional to 3,836,984,722 and 8,349,614,904

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Solution

The third proportional to 3,836,984,722 and 8,349,614,904 is: 18,169,493,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,984,722 : 8,349,614,904 = 8,349,614,904 : x
  2. Step 2: Convert to fraction form
    3,836,984,722/8,349,614,904 = 8,349,614,904/x
  3. Step 3: Cross multiply
    3,836,984,722x = 8,349,614,904 × 8,349,614,904
  4. Step 4: Simplify right side
    3,836,984,722x = 69,716,069,045,098,930,176
  5. Step 5: Solve for x
    x = 69,716,069,045,098,930,176/3,836,984,722
  6. Step 6: Final answer
    x = 18,169,493,520.62

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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.