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Finding the Third Proportional to 4,211,816 and 9,096,121

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Solution

The third proportional to 4,211,816 and 9,096,121 is: 19,644,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,816 : 9,096,121 = 9,096,121 : x
  2. Step 2: Convert to fraction form
    4,211,816/9,096,121 = 9,096,121/x
  3. Step 3: Cross multiply
    4,211,816x = 9,096,121 × 9,096,121
  4. Step 4: Simplify right side
    4,211,816x = 82,739,417,246,641
  5. Step 5: Solve for x
    x = 82,739,417,246,641/4,211,816
  6. Step 6: Final answer
    x = 19,644,594.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.