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Finding the Third Proportional to 637,419,807.84 and 1,378,504,850.91

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Solution

The third proportional to 637,419,807.84 and 1,378,504,850.91 is: 2,981,199,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,419,807.84 : 1,378,504,850.91 = 1,378,504,850.91 : x
  2. Step 2: Convert to fraction form
    637,419,807.84/1,378,504,850.91 = 1,378,504,850.91/x
  3. Step 3: Cross multiply
    637,419,807.84x = 1,378,504,850.91 × 1,378,504,850.91
  4. Step 4: Simplify right side
    637,419,807.84x = 1,900,275,623,971,924,480
  5. Step 5: Solve for x
    x = 1,900,275,623,971,924,480/637,419,807.84
  6. Step 6: Final answer
    x = 2,981,199,518.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.