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Finding the Third Proportional to 4,622,036 and 10,306,228

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Solution

The third proportional to 4,622,036 and 10,306,228 is: 22,980,854.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622,036 : 10,306,228 = 10,306,228 : x
  2. Step 2: Convert to fraction form
    4,622,036/10,306,228 = 10,306,228/x
  3. Step 3: Cross multiply
    4,622,036x = 10,306,228 × 10,306,228
  4. Step 4: Simplify right side
    4,622,036x = 106,218,335,587,984
  5. Step 5: Solve for x
    x = 106,218,335,587,984/4,622,036
  6. Step 6: Final answer
    x = 22,980,854.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.