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Finding the Third Proportional to 3,836,984,652.25 and 8,349,614,764

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Solution

The third proportional to 3,836,984,652.25 and 8,349,614,764 is: 18,169,493,241.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,984,652.25 : 8,349,614,764 = 8,349,614,764 : x
  2. Step 2: Convert to fraction form
    3,836,984,652.25/8,349,614,764 = 8,349,614,764/x
  3. Step 3: Cross multiply
    3,836,984,652.25x = 8,349,614,764 × 8,349,614,764
  4. Step 4: Simplify right side
    3,836,984,652.25x = 69,716,066,707,206,774,784
  5. Step 5: Solve for x
    x = 69,716,066,707,206,774,784/3,836,984,652.25
  6. Step 6: Final answer
    x = 18,169,493,241.61

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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.