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Finding the Third Proportional to 4,707,843.75 and 9,980,723.25

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Solution

The third proportional to 4,707,843.75 and 9,980,723.25 is: 21,159,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,843.75 : 9,980,723.25 = 9,980,723.25 : x
  2. Step 2: Convert to fraction form
    4,707,843.75/9,980,723.25 = 9,980,723.25/x
  3. Step 3: Cross multiply
    4,707,843.75x = 9,980,723.25 × 9,980,723.25
  4. Step 4: Simplify right side
    4,707,843.75x = 99,614,836,593,090.56
  5. Step 5: Solve for x
    x = 99,614,836,593,090.56/4,707,843.75
  6. Step 6: Final answer
    x = 21,159,333.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.