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Finding the Third Proportional to 3,461,918.48 and 8,013,723.29

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Solution

The third proportional to 3,461,918.48 and 8,013,723.29 is: 18,550,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461,918.48 : 8,013,723.29 = 8,013,723.29 : x
  2. Step 2: Convert to fraction form
    3,461,918.48/8,013,723.29 = 8,013,723.29/x
  3. Step 3: Cross multiply
    3,461,918.48x = 8,013,723.29 × 8,013,723.29
  4. Step 4: Simplify right side
    3,461,918.48x = 64,219,761,016,270.71
  5. Step 5: Solve for x
    x = 64,219,761,016,270.71/3,461,918.48
  6. Step 6: Final answer
    x = 18,550,338.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.