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Finding the Third Proportional to 8,629,650 and 14,381,023.50

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Solution

The third proportional to 8,629,650 and 14,381,023.50 is: 23,965,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,629,650 : 14,381,023.50 = 14,381,023.50 : x
  2. Step 2: Convert to fraction form
    8,629,650/14,381,023.50 = 14,381,023.50/x
  3. Step 3: Cross multiply
    8,629,650x = 14,381,023.50 × 14,381,023.50
  4. Step 4: Simplify right side
    8,629,650x = 206,813,836,907,552.25
  5. Step 5: Solve for x
    x = 206,813,836,907,552.25/8,629,650
  6. Step 6: Final answer
    x = 23,965,495.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.