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Finding the Third Proportional to 4,200,324 and 9,160,869

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Solution

The third proportional to 4,200,324 and 9,160,869 is: 19,979,773.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,324 : 9,160,869 = 9,160,869 : x
  2. Step 2: Convert to fraction form
    4,200,324/9,160,869 = 9,160,869/x
  3. Step 3: Cross multiply
    4,200,324x = 9,160,869 × 9,160,869
  4. Step 4: Simplify right side
    4,200,324x = 83,921,520,835,161
  5. Step 5: Solve for x
    x = 83,921,520,835,161/4,200,324
  6. Step 6: Final answer
    x = 19,979,773.19

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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.