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Finding the Third Proportional to 18,159,813,498 and 25,561,875,498

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Solution

The third proportional to 18,159,813,498 and 25,561,875,498 is: 35,981,067,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,159,813,498 : 25,561,875,498 = 25,561,875,498 : x
  2. Step 2: Convert to fraction form
    18,159,813,498/25,561,875,498 = 25,561,875,498/x
  3. Step 3: Cross multiply
    18,159,813,498x = 25,561,875,498 × 25,561,875,498
  4. Step 4: Simplify right side
    18,159,813,498x = 653,409,478,975,252,725,760
  5. Step 5: Solve for x
    x = 653,409,478,975,252,725,760/18,159,813,498
  6. Step 6: Final answer
    x = 35,981,067,704.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.