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Finding the Third Proportional to 411,057,994,242.38 and 855,944,322,622.02

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Solution

The third proportional to 411,057,994,242.38 and 855,944,322,622.02 is: 1,782,329,242,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,057,994,242.38 : 855,944,322,622.02 = 855,944,322,622.02 : x
  2. Step 2: Convert to fraction form
    411,057,994,242.38/855,944,322,622.02 = 855,944,322,622.02/x
  3. Step 3: Cross multiply
    411,057,994,242.38x = 855,944,322,622.02 × 855,944,322,622.02
  4. Step 4: Simplify right side
    411,057,994,242.38x = 732,640,683,428,868,706,533,376
  5. Step 5: Solve for x
    x = 732,640,683,428,868,706,533,376/411,057,994,242.38
  6. Step 6: Final answer
    x = 1,782,329,242,323.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.