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Finding the Third Proportional to 5,143,351.13 and 7,052,934.94

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Solution

The third proportional to 5,143,351.13 and 7,052,934.94 is: 9,671,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143,351.13 : 7,052,934.94 = 7,052,934.94 : x
  2. Step 2: Convert to fraction form
    5,143,351.13/7,052,934.94 = 7,052,934.94/x
  3. Step 3: Cross multiply
    5,143,351.13x = 7,052,934.94 × 7,052,934.94
  4. Step 4: Simplify right side
    5,143,351.13x = 49,743,891,232,608.12
  5. Step 5: Solve for x
    x = 49,743,891,232,608.12/5,143,351.13
  6. Step 6: Final answer
    x = 9,671,494.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.