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Finding the Third Proportional to 4,309,696.13 and 6,427,167.75

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Solution

The third proportional to 4,309,696.13 and 6,427,167.75 is: 9,585,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309,696.13 : 6,427,167.75 = 6,427,167.75 : x
  2. Step 2: Convert to fraction form
    4,309,696.13/6,427,167.75 = 6,427,167.75/x
  3. Step 3: Cross multiply
    4,309,696.13x = 6,427,167.75 × 6,427,167.75
  4. Step 4: Simplify right side
    4,309,696.13x = 41,308,485,286,640.06
  5. Step 5: Solve for x
    x = 41,308,485,286,640.06/4,309,696.13
  6. Step 6: Final answer
    x = 9,585,011.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.