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Finding the Third Proportional to 38,299,671 and 57,314,187

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Solution

The third proportional to 38,299,671 and 57,314,187 is: 85,768,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,299,671 : 57,314,187 = 57,314,187 : x
  2. Step 2: Convert to fraction form
    38,299,671/57,314,187 = 57,314,187/x
  3. Step 3: Cross multiply
    38,299,671x = 57,314,187 × 57,314,187
  4. Step 4: Simplify right side
    38,299,671x = 3,284,916,031,470,969
  5. Step 5: Solve for x
    x = 3,284,916,031,470,969/38,299,671
  6. Step 6: Final answer
    x = 85,768,779.36

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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.