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Finding the Third Proportional to 8,271,780.75 and 12,582,631.13

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Solution

The third proportional to 8,271,780.75 and 12,582,631.13 is: 19,140,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271,780.75 : 12,582,631.13 = 12,582,631.13 : x
  2. Step 2: Convert to fraction form
    8,271,780.75/12,582,631.13 = 12,582,631.13/x
  3. Step 3: Cross multiply
    8,271,780.75x = 12,582,631.13 × 12,582,631.13
  4. Step 4: Simplify right side
    8,271,780.75x = 158,322,606,027,818.75
  5. Step 5: Solve for x
    x = 158,322,606,027,818.75/8,271,780.75
  6. Step 6: Final answer
    x = 19,140,087.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.