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Finding the Third Proportional to 6,026,415.19 and 9,093,956.06

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Solution

The third proportional to 6,026,415.19 and 9,093,956.06 is: 13,722,923.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026,415.19 : 9,093,956.06 = 9,093,956.06 : x
  2. Step 2: Convert to fraction form
    6,026,415.19/9,093,956.06 = 9,093,956.06/x
  3. Step 3: Cross multiply
    6,026,415.19x = 9,093,956.06 × 9,093,956.06
  4. Step 4: Simplify right side
    6,026,415.19x = 82,700,036,866,680.50
  5. Step 5: Solve for x
    x = 82,700,036,866,680.50/6,026,415.19
  6. Step 6: Final answer
    x = 13,722,923.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.