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Finding the Third Proportional to 417,217,186,260 and 903,746,412,720

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Solution

The third proportional to 417,217,186,260 and 903,746,412,720 is: 1,957,631,673,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,217,186,260 : 903,746,412,720 = 903,746,412,720 : x
  2. Step 2: Convert to fraction form
    417,217,186,260/903,746,412,720 = 903,746,412,720/x
  3. Step 3: Cross multiply
    417,217,186,260x = 903,746,412,720 × 903,746,412,720
  4. Step 4: Simplify right side
    417,217,186,260x = 816,757,578,504,268,605,816,832
  5. Step 5: Solve for x
    x = 816,757,578,504,268,605,816,832/417,217,186,260
  6. Step 6: Final answer
    x = 1,957,631,673,387.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.