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Finding the Third Proportional to 6,823,576.69 and 10,238,577.19

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Solution

The third proportional to 6,823,576.69 and 10,238,577.19 is: 15,362,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823,576.69 : 10,238,577.19 = 10,238,577.19 : x
  2. Step 2: Convert to fraction form
    6,823,576.69/10,238,577.19 = 10,238,577.19/x
  3. Step 3: Cross multiply
    6,823,576.69x = 10,238,577.19 × 10,238,577.19
  4. Step 4: Simplify right side
    6,823,576.69x = 104,828,462,824,395.41
  5. Step 5: Solve for x
    x = 104,828,462,824,395.41/6,823,576.69
  6. Step 6: Final answer
    x = 15,362,685.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.