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Finding the Third Proportional to 32,995,352 and 49,917,703.75

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Solution

The third proportional to 32,995,352 and 49,917,703.75 is: 75,519,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,995,352 : 49,917,703.75 = 49,917,703.75 : x
  2. Step 2: Convert to fraction form
    32,995,352/49,917,703.75 = 49,917,703.75/x
  3. Step 3: Cross multiply
    32,995,352x = 49,917,703.75 × 49,917,703.75
  4. Step 4: Simplify right side
    32,995,352x = 2,491,777,147,672,764
  5. Step 5: Solve for x
    x = 2,491,777,147,672,764/32,995,352
  6. Step 6: Final answer
    x = 75,519,035.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.