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Finding the Third Proportional to 4,401,098 and 9,452,964.63

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Solution

The third proportional to 4,401,098 and 9,452,964.63 is: 20,303,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,401,098 : 9,452,964.63 = 9,452,964.63 : x
  2. Step 2: Convert to fraction form
    4,401,098/9,452,964.63 = 9,452,964.63/x
  3. Step 3: Cross multiply
    4,401,098x = 9,452,964.63 × 9,452,964.63
  4. Step 4: Simplify right side
    4,401,098x = 89,358,540,201,501.39
  5. Step 5: Solve for x
    x = 89,358,540,201,501.39/4,401,098
  6. Step 6: Final answer
    x = 20,303,692.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.