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Finding the Third Proportional to 807,584,655 and 1,752,997,977

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Solution

The third proportional to 807,584,655 and 1,752,997,977 is: 3,805,176,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,584,655 : 1,752,997,977 = 1,752,997,977 : x
  2. Step 2: Convert to fraction form
    807,584,655/1,752,997,977 = 1,752,997,977/x
  3. Step 3: Cross multiply
    807,584,655x = 1,752,997,977 × 1,752,997,977
  4. Step 4: Simplify right side
    807,584,655x = 3,073,001,907,366,092,288
  5. Step 5: Solve for x
    x = 3,073,001,907,366,092,288/807,584,655
  6. Step 6: Final answer
    x = 3,805,176,198.36

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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.