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Finding the Third Proportional to 2,569,374 and 5,533,380

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Solution

The third proportional to 2,569,374 and 5,533,380 is: 11,916,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569,374 : 5,533,380 = 5,533,380 : x
  2. Step 2: Convert to fraction form
    2,569,374/5,533,380 = 5,533,380/x
  3. Step 3: Cross multiply
    2,569,374x = 5,533,380 × 5,533,380
  4. Step 4: Simplify right side
    2,569,374x = 30,618,294,224,400
  5. Step 5: Solve for x
    x = 30,618,294,224,400/2,569,374
  6. Step 6: Final answer
    x = 11,916,635.81

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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.