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Finding the Third Proportional to 776,626,002 and 1,668,515,625

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Solution

The third proportional to 776,626,002 and 1,668,515,625 is: 3,584,665,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,626,002 : 1,668,515,625 = 1,668,515,625 : x
  2. Step 2: Convert to fraction form
    776,626,002/1,668,515,625 = 1,668,515,625/x
  3. Step 3: Cross multiply
    776,626,002x = 1,668,515,625 × 1,668,515,625
  4. Step 4: Simplify right side
    776,626,002x = 2,783,944,390,869,140,480
  5. Step 5: Solve for x
    x = 2,783,944,390,869,140,480/776,626,002
  6. Step 6: Final answer
    x = 3,584,665,442.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.