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Finding the Third Proportional to 8,696,407,785,431.70 and 18,919,645,206,784

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Solution

The third proportional to 8,696,407,785,431.70 and 18,919,645,206,784 is: 41,161,015,396,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696,407,785,431.70 : 18,919,645,206,784 = 18,919,645,206,784 : x
  2. Step 2: Convert to fraction form
    8,696,407,785,431.70/18,919,645,206,784 = 18,919,645,206,784/x
  3. Step 3: Cross multiply
    8,696,407,785,431.70x = 18,919,645,206,784 × 18,919,645,206,784
  4. Step 4: Simplify right side
    8,696,407,785,431.70x = 357,952,974,750,584,789,794,816,000
  5. Step 5: Solve for x
    x = 357,952,974,750,584,789,794,816,000/8,696,407,785,431.70
  6. Step 6: Final answer
    x = 41,161,015,396,521.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.