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Finding the Third Proportional to 45,376,016 and 99,568,576

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Solution

The third proportional to 45,376,016 and 99,568,576 is: 218,483,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,376,016 : 99,568,576 = 99,568,576 : x
  2. Step 2: Convert to fraction form
    45,376,016/99,568,576 = 99,568,576/x
  3. Step 3: Cross multiply
    45,376,016x = 99,568,576 × 99,568,576
  4. Step 4: Simplify right side
    45,376,016x = 9,913,901,326,667,776
  5. Step 5: Solve for x
    x = 9,913,901,326,667,776/45,376,016
  6. Step 6: Final answer
    x = 218,483,291.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.