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Finding the Third Proportional to 38,463,669,200.25 and 83,548,642,527

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Solution

The third proportional to 38,463,669,200.25 and 83,548,642,527 is: 181,479,713,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463,669,200.25 : 83,548,642,527 = 83,548,642,527 : x
  2. Step 2: Convert to fraction form
    38,463,669,200.25/83,548,642,527 = 83,548,642,527/x
  3. Step 3: Cross multiply
    38,463,669,200.25x = 83,548,642,527 × 83,548,642,527
  4. Step 4: Simplify right side
    38,463,669,200.25x = 6,980,375,668,104,433,238,016
  5. Step 5: Solve for x
    x = 6,980,375,668,104,433,238,016/38,463,669,200.25
  6. Step 6: Final answer
    x = 181,479,713,538.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.