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Finding the Third Proportional to 4,745,724 and 11,197,986

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Solution

The third proportional to 4,745,724 and 11,197,986 is: 26,422,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745,724 : 11,197,986 = 11,197,986 : x
  2. Step 2: Convert to fraction form
    4,745,724/11,197,986 = 11,197,986/x
  3. Step 3: Cross multiply
    4,745,724x = 11,197,986 × 11,197,986
  4. Step 4: Simplify right side
    4,745,724x = 125,394,890,456,196
  5. Step 5: Solve for x
    x = 125,394,890,456,196/4,745,724
  6. Step 6: Final answer
    x = 26,422,710.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.