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Finding the Third Proportional to 38,587,704,825 and 83,586,005,285

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Solution

The third proportional to 38,587,704,825 and 83,586,005,285 is: 181,058,197,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,587,704,825 : 83,586,005,285 = 83,586,005,285 : x
  2. Step 2: Convert to fraction form
    38,587,704,825/83,586,005,285 = 83,586,005,285/x
  3. Step 3: Cross multiply
    38,587,704,825x = 83,586,005,285 × 83,586,005,285
  4. Step 4: Simplify right side
    38,587,704,825x = 6,986,620,279,504,047,702,016
  5. Step 5: Solve for x
    x = 6,986,620,279,504,047,702,016/38,587,704,825
  6. Step 6: Final answer
    x = 181,058,197,454.07

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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.