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Finding the Third Proportional to 38,587,704,816 and 83,586,005,268

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Solution

The third proportional to 38,587,704,816 and 83,586,005,268 is: 181,058,197,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,587,704,816 : 83,586,005,268 = 83,586,005,268 : x
  2. Step 2: Convert to fraction form
    38,587,704,816/83,586,005,268 = 83,586,005,268/x
  3. Step 3: Cross multiply
    38,587,704,816x = 83,586,005,268 × 83,586,005,268
  4. Step 4: Simplify right side
    38,587,704,816x = 6,986,620,276,662,123,626,496
  5. Step 5: Solve for x
    x = 6,986,620,276,662,123,626,496/38,587,704,816
  6. Step 6: Final answer
    x = 181,058,197,422.65

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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.