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Finding the Third Proportional to 5,211,009.84 and 11,319,075.56

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Solution

The third proportional to 5,211,009.84 and 11,319,075.56 is: 24,586,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211,009.84 : 11,319,075.56 = 11,319,075.56 : x
  2. Step 2: Convert to fraction form
    5,211,009.84/11,319,075.56 = 11,319,075.56/x
  3. Step 3: Cross multiply
    5,211,009.84x = 11,319,075.56 × 11,319,075.56
  4. Step 4: Simplify right side
    5,211,009.84x = 128,121,471,589,584.69
  5. Step 5: Solve for x
    x = 128,121,471,589,584.69/5,211,009.84
  6. Step 6: Final answer
    x = 24,586,687.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.