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Finding the Third Proportional to 2,935,384.31 and 5,953,344.33

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Solution

The third proportional to 2,935,384.31 and 5,953,344.33 is: 12,074,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,935,384.31 : 5,953,344.33 = 5,953,344.33 : x
  2. Step 2: Convert to fraction form
    2,935,384.31/5,953,344.33 = 5,953,344.33/x
  3. Step 3: Cross multiply
    2,935,384.31x = 5,953,344.33 × 5,953,344.33
  4. Step 4: Simplify right side
    2,935,384.31x = 35,442,308,689,218.11
  5. Step 5: Solve for x
    x = 35,442,308,689,218.11/2,935,384.31
  6. Step 6: Final answer
    x = 12,074,163.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.