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Finding the Third Proportional to 22,638,978 and 32,003,196.75

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Solution

The third proportional to 22,638,978 and 32,003,196.75 is: 45,240,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638,978 : 32,003,196.75 = 32,003,196.75 : x
  2. Step 2: Convert to fraction form
    22,638,978/32,003,196.75 = 32,003,196.75/x
  3. Step 3: Cross multiply
    22,638,978x = 32,003,196.75 × 32,003,196.75
  4. Step 4: Simplify right side
    22,638,978x = 1,024,204,602,219,210.50
  5. Step 5: Solve for x
    x = 1,024,204,602,219,210.50/22,638,978
  6. Step 6: Final answer
    x = 45,240,761.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.