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Finding the Third Proportional to 4,100,418 and 6,516,828

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Solution

The third proportional to 4,100,418 and 6,516,828 is: 10,357,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,418 : 6,516,828 = 6,516,828 : x
  2. Step 2: Convert to fraction form
    4,100,418/6,516,828 = 6,516,828/x
  3. Step 3: Cross multiply
    4,100,418x = 6,516,828 × 6,516,828
  4. Step 4: Simplify right side
    4,100,418x = 42,469,047,181,584
  5. Step 5: Solve for x
    x = 42,469,047,181,584/4,100,418
  6. Step 6: Final answer
    x = 10,357,248.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.