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Finding the Third Proportional to 4,581,947.25 and 9,048,246.75

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Solution

The third proportional to 4,581,947.25 and 9,048,246.75 is: 17,868,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581,947.25 : 9,048,246.75 = 9,048,246.75 : x
  2. Step 2: Convert to fraction form
    4,581,947.25/9,048,246.75 = 9,048,246.75/x
  3. Step 3: Cross multiply
    4,581,947.25x = 9,048,246.75 × 9,048,246.75
  4. Step 4: Simplify right side
    4,581,947.25x = 81,870,769,248,885.56
  5. Step 5: Solve for x
    x = 81,870,769,248,885.56/4,581,947.25
  6. Step 6: Final answer
    x = 17,868,116.93

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.