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Finding the Third Proportional to 1,889,513,814 and 2,659,692,338

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Solution

The third proportional to 1,889,513,814 and 2,659,692,338 is: 3,743,800,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889,513,814 : 2,659,692,338 = 2,659,692,338 : x
  2. Step 2: Convert to fraction form
    1,889,513,814/2,659,692,338 = 2,659,692,338/x
  3. Step 3: Cross multiply
    1,889,513,814x = 2,659,692,338 × 2,659,692,338
  4. Step 4: Simplify right side
    1,889,513,814x = 7,073,963,332,815,905,792
  5. Step 5: Solve for x
    x = 7,073,963,332,815,905,792/1,889,513,814
  6. Step 6: Final answer
    x = 3,743,800,802.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.