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Finding the Third Proportional to 5,042,814 and 7,569,380

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Solution

The third proportional to 5,042,814 and 7,569,380 is: 11,361,813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042,814 : 7,569,380 = 7,569,380 : x
  2. Step 2: Convert to fraction form
    5,042,814/7,569,380 = 7,569,380/x
  3. Step 3: Cross multiply
    5,042,814x = 7,569,380 × 7,569,380
  4. Step 4: Simplify right side
    5,042,814x = 57,295,513,584,400
  5. Step 5: Solve for x
    x = 57,295,513,584,400/5,042,814
  6. Step 6: Final answer
    x = 11,361,813.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.