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Finding the Third Proportional to 6,401,405 and 9,815,921

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Solution

The third proportional to 6,401,405 and 9,815,921 is: 15,051,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401,405 : 9,815,921 = 9,815,921 : x
  2. Step 2: Convert to fraction form
    6,401,405/9,815,921 = 9,815,921/x
  3. Step 3: Cross multiply
    6,401,405x = 9,815,921 × 9,815,921
  4. Step 4: Simplify right side
    6,401,405x = 96,352,305,078,241
  5. Step 5: Solve for x
    x = 96,352,305,078,241/6,401,405
  6. Step 6: Final answer
    x = 15,051,743.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.