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Finding the Third Proportional to 747,715,518.75 and 1,627,095,545.25

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Solution

The third proportional to 747,715,518.75 and 1,627,095,545.25 is: 3,540,704,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,715,518.75 : 1,627,095,545.25 = 1,627,095,545.25 : x
  2. Step 2: Convert to fraction form
    747,715,518.75/1,627,095,545.25 = 1,627,095,545.25/x
  3. Step 3: Cross multiply
    747,715,518.75x = 1,627,095,545.25 × 1,627,095,545.25
  4. Step 4: Simplify right side
    747,715,518.75x = 2,647,439,913,372,395,008
  5. Step 5: Solve for x
    x = 2,647,439,913,372,395,008/747,715,518.75
  6. Step 6: Final answer
    x = 3,540,704,782.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.