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Finding the Third Proportional to 388,306,746 and 834,245,318.25

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Solution

The third proportional to 388,306,746 and 834,245,318.25 is: 1,792,307,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,306,746 : 834,245,318.25 = 834,245,318.25 : x
  2. Step 2: Convert to fraction form
    388,306,746/834,245,318.25 = 834,245,318.25/x
  3. Step 3: Cross multiply
    388,306,746x = 834,245,318.25 × 834,245,318.25
  4. Step 4: Simplify right side
    388,306,746x = 695,965,251,022,043,776
  5. Step 5: Solve for x
    x = 695,965,251,022,043,776/388,306,746
  6. Step 6: Final answer
    x = 1,792,307,906.55

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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.