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Finding the Third Proportional to 5,475,189.94 and 12,674,710.41

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Solution

The third proportional to 5,475,189.94 and 12,674,710.41 is: 29,341,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,475,189.94 : 12,674,710.41 = 12,674,710.41 : x
  2. Step 2: Convert to fraction form
    5,475,189.94/12,674,710.41 = 12,674,710.41/x
  3. Step 3: Cross multiply
    5,475,189.94x = 12,674,710.41 × 12,674,710.41
  4. Step 4: Simplify right side
    5,475,189.94x = 160,648,283,882,302.03
  5. Step 5: Solve for x
    x = 160,648,283,882,302.03/5,475,189.94
  6. Step 6: Final answer
    x = 29,341,134.41

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.