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Finding the Third Proportional to 4,427,032 and 6,769,014

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Solution

The third proportional to 4,427,032 and 6,769,014 is: 10,349,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427,032 : 6,769,014 = 6,769,014 : x
  2. Step 2: Convert to fraction form
    4,427,032/6,769,014 = 6,769,014/x
  3. Step 3: Cross multiply
    4,427,032x = 6,769,014 × 6,769,014
  4. Step 4: Simplify right side
    4,427,032x = 45,819,550,532,196
  5. Step 5: Solve for x
    x = 45,819,550,532,196/4,427,032
  6. Step 6: Final answer
    x = 10,349,947.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.