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Finding the Third Proportional to 19,778,107.50 and 41,072,049

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Solution

The third proportional to 19,778,107.50 and 41,072,049 is: 85,291,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778,107.50 : 41,072,049 = 41,072,049 : x
  2. Step 2: Convert to fraction form
    19,778,107.50/41,072,049 = 41,072,049/x
  3. Step 3: Cross multiply
    19,778,107.50x = 41,072,049 × 41,072,049
  4. Step 4: Simplify right side
    19,778,107.50x = 1,686,913,209,058,401
  5. Step 5: Solve for x
    x = 1,686,913,209,058,401/19,778,107.50
  6. Step 6: Final answer
    x = 85,291,942.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.