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Finding the Third Proportional to 819,722,974 and 1,756,599,164

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Solution

The third proportional to 819,722,974 and 1,756,599,164 is: 3,764,248,070.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,722,974 : 1,756,599,164 = 1,756,599,164 : x
  2. Step 2: Convert to fraction form
    819,722,974/1,756,599,164 = 1,756,599,164/x
  3. Step 3: Cross multiply
    819,722,974x = 1,756,599,164 × 1,756,599,164
  4. Step 4: Simplify right side
    819,722,974x = 3,085,640,622,965,498,880
  5. Step 5: Solve for x
    x = 3,085,640,622,965,498,880/819,722,974
  6. Step 6: Final answer
    x = 3,764,248,070.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.