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Finding the Third Proportional to 11,659,585,570 and 25,177,073,562

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Solution

The third proportional to 11,659,585,570 and 25,177,073,562 is: 54,366,000,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659,585,570 : 25,177,073,562 = 25,177,073,562 : x
  2. Step 2: Convert to fraction form
    11,659,585,570/25,177,073,562 = 25,177,073,562/x
  3. Step 3: Cross multiply
    11,659,585,570x = 25,177,073,562 × 25,177,073,562
  4. Step 4: Simplify right side
    11,659,585,570x = 633,885,033,146,359,349,248
  5. Step 5: Solve for x
    x = 633,885,033,146,359,349,248/11,659,585,570
  6. Step 6: Final answer
    x = 54,366,000,347.16

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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.