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Finding the Third Proportional to 2,361,465,692.25 and 5,466,937,826.25

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Solution

The third proportional to 2,361,465,692.25 and 5,466,937,826.25 is: 12,656,296,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,465,692.25 : 5,466,937,826.25 = 5,466,937,826.25 : x
  2. Step 2: Convert to fraction form
    2,361,465,692.25/5,466,937,826.25 = 5,466,937,826.25/x
  3. Step 3: Cross multiply
    2,361,465,692.25x = 5,466,937,826.25 × 5,466,937,826.25
  4. Step 4: Simplify right side
    2,361,465,692.25x = 29,887,409,196,083,077,120
  5. Step 5: Solve for x
    x = 29,887,409,196,083,077,120/2,361,465,692.25
  6. Step 6: Final answer
    x = 12,656,296,169.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.