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Finding the Third Proportional to 9,704,903 and 20,773,114

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Solution

The third proportional to 9,704,903 and 20,773,114 is: 44,464,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704,903 : 20,773,114 = 20,773,114 : x
  2. Step 2: Convert to fraction form
    9,704,903/20,773,114 = 20,773,114/x
  3. Step 3: Cross multiply
    9,704,903x = 20,773,114 × 20,773,114
  4. Step 4: Simplify right side
    9,704,903x = 431,522,265,256,996
  5. Step 5: Solve for x
    x = 431,522,265,256,996/9,704,903
  6. Step 6: Final answer
    x = 44,464,356.34

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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.