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Finding the Third Proportional to 5,780,054.25 and 12,432,003.75

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Solution

The third proportional to 5,780,054.25 and 12,432,003.75 is: 26,739,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,054.25 : 12,432,003.75 = 12,432,003.75 : x
  2. Step 2: Convert to fraction form
    5,780,054.25/12,432,003.75 = 12,432,003.75/x
  3. Step 3: Cross multiply
    5,780,054.25x = 12,432,003.75 × 12,432,003.75
  4. Step 4: Simplify right side
    5,780,054.25x = 154,554,717,240,014.06
  5. Step 5: Solve for x
    x = 154,554,717,240,014.06/5,780,054.25
  6. Step 6: Final answer
    x = 26,739,319.49

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