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Finding the Third Proportional to 23,686,067 and 51,829,780

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Solution

The third proportional to 23,686,067 and 51,829,780 is: 113,413,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686,067 : 51,829,780 = 51,829,780 : x
  2. Step 2: Convert to fraction form
    23,686,067/51,829,780 = 51,829,780/x
  3. Step 3: Cross multiply
    23,686,067x = 51,829,780 × 51,829,780
  4. Step 4: Simplify right side
    23,686,067x = 2,686,326,094,848,400
  5. Step 5: Solve for x
    x = 2,686,326,094,848,400/23,686,067
  6. Step 6: Final answer
    x = 113,413,767.46

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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.