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Finding the Third Proportional to 1,241,697,479 and 1,947,859,640

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Solution

The third proportional to 1,241,697,479 and 1,947,859,640 is: 3,055,621,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,697,479 : 1,947,859,640 = 1,947,859,640 : x
  2. Step 2: Convert to fraction form
    1,241,697,479/1,947,859,640 = 1,947,859,640/x
  3. Step 3: Cross multiply
    1,241,697,479x = 1,947,859,640 × 1,947,859,640
  4. Step 4: Simplify right side
    1,241,697,479x = 3,794,157,177,140,929,536
  5. Step 5: Solve for x
    x = 3,794,157,177,140,929,536/1,241,697,479
  6. Step 6: Final answer
    x = 3,055,621,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.