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Finding the Third Proportional to 807,584,768 and 1,752,998,224

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Solution

The third proportional to 807,584,768 and 1,752,998,224 is: 3,805,176,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,584,768 : 1,752,998,224 = 1,752,998,224 : x
  2. Step 2: Convert to fraction form
    807,584,768/1,752,998,224 = 1,752,998,224/x
  3. Step 3: Cross multiply
    807,584,768x = 1,752,998,224 × 1,752,998,224
  4. Step 4: Simplify right side
    807,584,768x = 3,073,002,773,347,153,920
  5. Step 5: Solve for x
    x = 3,073,002,773,347,153,920/807,584,768
  6. Step 6: Final answer
    x = 3,805,176,738.24

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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.