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Finding the Third Proportional to 18,159,813,616.50 and 25,561,875,645

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Solution

The third proportional to 18,159,813,616.50 and 25,561,875,645 is: 35,981,067,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,159,813,616.50 : 25,561,875,645 = 25,561,875,645 : x
  2. Step 2: Convert to fraction form
    18,159,813,616.50/25,561,875,645 = 25,561,875,645/x
  3. Step 3: Cross multiply
    18,159,813,616.50x = 25,561,875,645 × 25,561,875,645
  4. Step 4: Simplify right side
    18,159,813,616.50x = 653,409,486,490,444,103,680
  5. Step 5: Solve for x
    x = 653,409,486,490,444,103,680/18,159,813,616.50
  6. Step 6: Final answer
    x = 35,981,067,883.69

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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.