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Finding the Third Proportional to 39,719,826 and 85,709,910

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Solution

The third proportional to 39,719,826 and 85,709,910 is: 184,950,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719,826 : 85,709,910 = 85,709,910 : x
  2. Step 2: Convert to fraction form
    39,719,826/85,709,910 = 85,709,910/x
  3. Step 3: Cross multiply
    39,719,826x = 85,709,910 × 85,709,910
  4. Step 4: Simplify right side
    39,719,826x = 7,346,188,672,208,100
  5. Step 5: Solve for x
    x = 7,346,188,672,208,100/39,719,826
  6. Step 6: Final answer
    x = 184,950,172.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.