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Finding the Third Proportional to 3,025,036.13 and 7,086,506.06

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Solution

The third proportional to 3,025,036.13 and 7,086,506.06 is: 16,600,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025,036.13 : 7,086,506.06 = 7,086,506.06 : x
  2. Step 2: Convert to fraction form
    3,025,036.13/7,086,506.06 = 7,086,506.06/x
  3. Step 3: Cross multiply
    3,025,036.13x = 7,086,506.06 × 7,086,506.06
  4. Step 4: Simplify right side
    3,025,036.13x = 50,218,568,173,849.25
  5. Step 5: Solve for x
    x = 50,218,568,173,849.25/3,025,036.13
  6. Step 6: Final answer
    x = 16,600,981.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.