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Finding the Third Proportional to 5,261,444 and 11,306,118

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Solution

The third proportional to 5,261,444 and 11,306,118 is: 24,295,289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261,444 : 11,306,118 = 11,306,118 : x
  2. Step 2: Convert to fraction form
    5,261,444/11,306,118 = 11,306,118/x
  3. Step 3: Cross multiply
    5,261,444x = 11,306,118 × 11,306,118
  4. Step 4: Simplify right side
    5,261,444x = 127,828,304,229,924
  5. Step 5: Solve for x
    x = 127,828,304,229,924/5,261,444
  6. Step 6: Final answer
    x = 24,295,289.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.