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Finding the Third Proportional to 3,846,431.81 and 6,090,726.66

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Solution

The third proportional to 3,846,431.81 and 6,090,726.66 is: 9,644,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,431.81 : 6,090,726.66 = 6,090,726.66 : x
  2. Step 2: Convert to fraction form
    3,846,431.81/6,090,726.66 = 6,090,726.66/x
  3. Step 3: Cross multiply
    3,846,431.81x = 6,090,726.66 × 6,090,726.66
  4. Step 4: Simplify right side
    3,846,431.81x = 37,096,951,201,154.30
  5. Step 5: Solve for x
    x = 37,096,951,201,154.30/3,846,431.81
  6. Step 6: Final answer
    x = 9,644,510.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.