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Finding the Third Proportional to 9,686,091 and 20,376,042

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Solution

The third proportional to 9,686,091 and 20,376,042 is: 42,863,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,091 : 20,376,042 = 20,376,042 : x
  2. Step 2: Convert to fraction form
    9,686,091/20,376,042 = 20,376,042/x
  3. Step 3: Cross multiply
    9,686,091x = 20,376,042 × 20,376,042
  4. Step 4: Simplify right side
    9,686,091x = 415,183,087,585,764
  5. Step 5: Solve for x
    x = 415,183,087,585,764/9,686,091
  6. Step 6: Final answer
    x = 42,863,843.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.