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Finding the Third Proportional to 752,523,964 and 1,620,370,616

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Solution

The third proportional to 752,523,964 and 1,620,370,616 is: 3,489,059,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,523,964 : 1,620,370,616 = 1,620,370,616 : x
  2. Step 2: Convert to fraction form
    752,523,964/1,620,370,616 = 1,620,370,616/x
  3. Step 3: Cross multiply
    752,523,964x = 1,620,370,616 × 1,620,370,616
  4. Step 4: Simplify right side
    752,523,964x = 2,625,600,933,196,219,392
  5. Step 5: Solve for x
    x = 2,625,600,933,196,219,392/752,523,964
  6. Step 6: Final answer
    x = 3,489,059,563.29

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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.