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Finding the Third Proportional to 3,669,643 and 5,668,085

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Solution

The third proportional to 3,669,643 and 5,668,085 is: 8,754,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,643 : 5,668,085 = 5,668,085 : x
  2. Step 2: Convert to fraction form
    3,669,643/5,668,085 = 5,668,085/x
  3. Step 3: Cross multiply
    3,669,643x = 5,668,085 × 5,668,085
  4. Step 4: Simplify right side
    3,669,643x = 32,127,187,567,225
  5. Step 5: Solve for x
    x = 32,127,187,567,225/3,669,643
  6. Step 6: Final answer
    x = 8,754,853.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.