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Finding the Third Proportional to 5,419,773 and 11,784,321

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Solution

The third proportional to 5,419,773 and 11,784,321 is: 25,622,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419,773 : 11,784,321 = 11,784,321 : x
  2. Step 2: Convert to fraction form
    5,419,773/11,784,321 = 11,784,321/x
  3. Step 3: Cross multiply
    5,419,773x = 11,784,321 × 11,784,321
  4. Step 4: Simplify right side
    5,419,773x = 138,870,221,431,041
  5. Step 5: Solve for x
    x = 138,870,221,431,041/5,419,773
  6. Step 6: Final answer
    x = 25,622,885.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.