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Finding the Third Proportional to 755,858,963 and 1,173,584,251.50

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Solution

The third proportional to 755,858,963 and 1,173,584,251.50 is: 1,822,165,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,858,963 : 1,173,584,251.50 = 1,173,584,251.50 : x
  2. Step 2: Convert to fraction form
    755,858,963/1,173,584,251.50 = 1,173,584,251.50/x
  3. Step 3: Cross multiply
    755,858,963x = 1,173,584,251.50 × 1,173,584,251.50
  4. Step 4: Simplify right side
    755,858,963x = 1,377,299,995,368,815,360
  5. Step 5: Solve for x
    x = 1,377,299,995,368,815,360/755,858,963
  6. Step 6: Final answer
    x = 1,822,165,328.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.