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Finding the Third Proportional to 38,858,408.63 and 83,769,955.13

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Solution

The third proportional to 38,858,408.63 and 83,769,955.13 is: 180,589,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,858,408.63 : 83,769,955.13 = 83,769,955.13 : x
  2. Step 2: Convert to fraction form
    38,858,408.63/83,769,955.13 = 83,769,955.13/x
  3. Step 3: Cross multiply
    38,858,408.63x = 83,769,955.13 × 83,769,955.13
  4. Step 4: Simplify right side
    38,858,408.63x = 7,017,405,381,644,514
  5. Step 5: Solve for x
    x = 7,017,405,381,644,514/38,858,408.63
  6. Step 6: Final answer
    x = 180,589,108.77

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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.