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Finding the Third Proportional to 4,189,224 and 9,124,920

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Solution

The third proportional to 4,189,224 and 9,124,920 is: 19,875,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,224 : 9,124,920 = 9,124,920 : x
  2. Step 2: Convert to fraction form
    4,189,224/9,124,920 = 9,124,920/x
  3. Step 3: Cross multiply
    4,189,224x = 9,124,920 × 9,124,920
  4. Step 4: Simplify right side
    4,189,224x = 83,264,165,006,400
  5. Step 5: Solve for x
    x = 83,264,165,006,400/4,189,224
  6. Step 6: Final answer
    x = 19,875,796.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.