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Finding the Third Proportional to 33,675,464 and 49,253,484

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Solution

The third proportional to 33,675,464 and 49,253,484 is: 72,037,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,464 : 49,253,484 = 49,253,484 : x
  2. Step 2: Convert to fraction form
    33,675,464/49,253,484 = 49,253,484/x
  3. Step 3: Cross multiply
    33,675,464x = 49,253,484 × 49,253,484
  4. Step 4: Simplify right side
    33,675,464x = 2,425,905,686,138,256
  5. Step 5: Solve for x
    x = 2,425,905,686,138,256/33,675,464
  6. Step 6: Final answer
    x = 72,037,780.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.