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Finding the Third Proportional to 11,659,585,565 and 25,177,073,554

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Solution

The third proportional to 11,659,585,565 and 25,177,073,554 is: 54,366,000,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659,585,565 : 25,177,073,554 = 25,177,073,554 : x
  2. Step 2: Convert to fraction form
    11,659,585,565/25,177,073,554 = 25,177,073,554/x
  3. Step 3: Cross multiply
    11,659,585,565x = 25,177,073,554 × 25,177,073,554
  4. Step 4: Simplify right side
    11,659,585,565x = 633,885,032,743,526,203,392
  5. Step 5: Solve for x
    x = 633,885,032,743,526,203,392/11,659,585,565
  6. Step 6: Final answer
    x = 54,366,000,335.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.