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Finding the Third Proportional to 9,704,906 and 20,773,099

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Solution

The third proportional to 9,704,906 and 20,773,099 is: 44,464,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704,906 : 20,773,099 = 20,773,099 : x
  2. Step 2: Convert to fraction form
    9,704,906/20,773,099 = 20,773,099/x
  3. Step 3: Cross multiply
    9,704,906x = 20,773,099 × 20,773,099
  4. Step 4: Simplify right side
    9,704,906x = 431,521,642,063,801
  5. Step 5: Solve for x
    x = 431,521,642,063,801/9,704,906
  6. Step 6: Final answer
    x = 44,464,278.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.