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Finding the Third Proportional to 9,415,676.25 and 19,961,424

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Solution

The third proportional to 9,415,676.25 and 19,961,424 is: 42,318,622.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415,676.25 : 19,961,424 = 19,961,424 : x
  2. Step 2: Convert to fraction form
    9,415,676.25/19,961,424 = 19,961,424/x
  3. Step 3: Cross multiply
    9,415,676.25x = 19,961,424 × 19,961,424
  4. Step 4: Simplify right side
    9,415,676.25x = 398,458,448,107,776
  5. Step 5: Solve for x
    x = 398,458,448,107,776/9,415,676.25
  6. Step 6: Final answer
    x = 42,318,622.43

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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.