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Finding the Third Proportional to 3,663,817.31 and 7,814,561.06

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Solution

The third proportional to 3,663,817.31 and 7,814,561.06 is: 16,667,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,817.31 : 7,814,561.06 = 7,814,561.06 : x
  2. Step 2: Convert to fraction form
    3,663,817.31/7,814,561.06 = 7,814,561.06/x
  3. Step 3: Cross multiply
    3,663,817.31x = 7,814,561.06 × 7,814,561.06
  4. Step 4: Simplify right side
    3,663,817.31x = 61,067,364,599,541.12
  5. Step 5: Solve for x
    x = 61,067,364,599,541.12/3,663,817.31
  6. Step 6: Final answer
    x = 16,667,688.20

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.