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Finding the Third Proportional to 38,219,184,667.50 and 57,328,781,922

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Solution

The third proportional to 38,219,184,667.50 and 57,328,781,922 is: 85,993,180,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,219,184,667.50 : 57,328,781,922 = 57,328,781,922 : x
  2. Step 2: Convert to fraction form
    38,219,184,667.50/57,328,781,922 = 57,328,781,922/x
  3. Step 3: Cross multiply
    38,219,184,667.50x = 57,328,781,922 × 57,328,781,922
  4. Step 4: Simplify right side
    38,219,184,667.50x = 3,286,589,236,660,233,830,400
  5. Step 5: Solve for x
    x = 3,286,589,236,660,233,830,400/38,219,184,667.50
  6. Step 6: Final answer
    x = 85,993,180,264.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.