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Finding the Third Proportional to 38,587,704,834 and 83,586,005,304.75

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Solution

The third proportional to 38,587,704,834 and 83,586,005,304.75 is: 181,058,197,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,587,704,834 : 83,586,005,304.75 = 83,586,005,304.75 : x
  2. Step 2: Convert to fraction form
    38,587,704,834/83,586,005,304.75 = 83,586,005,304.75/x
  3. Step 3: Cross multiply
    38,587,704,834x = 83,586,005,304.75 × 83,586,005,304.75
  4. Step 4: Simplify right side
    38,587,704,834x = 6,986,620,282,805,694,758,912
  5. Step 5: Solve for x
    x = 6,986,620,282,805,694,758,912/38,587,704,834
  6. Step 6: Final answer
    x = 181,058,197,497.40

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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.