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Finding the Third Proportional to 13,896,027.75 and 30,184,206

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Solution

The third proportional to 13,896,027.75 and 30,184,206 is: 65,564,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896,027.75 : 30,184,206 = 30,184,206 : x
  2. Step 2: Convert to fraction form
    13,896,027.75/30,184,206 = 30,184,206/x
  3. Step 3: Cross multiply
    13,896,027.75x = 30,184,206 × 30,184,206
  4. Step 4: Simplify right side
    13,896,027.75x = 911,086,291,850,436
  5. Step 5: Solve for x
    x = 911,086,291,850,436/13,896,027.75
  6. Step 6: Final answer
    x = 65,564,512.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.