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Finding the Third Proportional to 4,574,016.56 and 6,097,860.56

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Solution

The third proportional to 4,574,016.56 and 6,097,860.56 is: 8,129,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574,016.56 : 6,097,860.56 = 6,097,860.56 : x
  2. Step 2: Convert to fraction form
    4,574,016.56/6,097,860.56 = 6,097,860.56/x
  3. Step 3: Cross multiply
    4,574,016.56x = 6,097,860.56 × 6,097,860.56
  4. Step 4: Simplify right side
    4,574,016.56x = 37,183,903,439,692.81
  5. Step 5: Solve for x
    x = 37,183,903,439,692.81/4,574,016.56
  6. Step 6: Final answer
    x = 8,129,376.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.