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Finding the Third Proportional to 9,401,184 and 19,619,712

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Solution

The third proportional to 9,401,184 and 19,619,712 is: 40,945,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401,184 : 19,619,712 = 19,619,712 : x
  2. Step 2: Convert to fraction form
    9,401,184/19,619,712 = 19,619,712/x
  3. Step 3: Cross multiply
    9,401,184x = 19,619,712 × 19,619,712
  4. Step 4: Simplify right side
    9,401,184x = 384,933,098,962,944
  5. Step 5: Solve for x
    x = 384,933,098,962,944/9,401,184
  6. Step 6: Final answer
    x = 40,945,172.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.