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Finding the Third Proportional to 33,675,465 and 49,253,485

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Solution

The third proportional to 33,675,465 and 49,253,485 is: 72,037,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,675,465 : 49,253,485 = 49,253,485 : x
  2. Step 2: Convert to fraction form
    33,675,465/49,253,485 = 49,253,485/x
  3. Step 3: Cross multiply
    33,675,465x = 49,253,485 × 49,253,485
  4. Step 4: Simplify right side
    33,675,465x = 2,425,905,784,645,225
  5. Step 5: Solve for x
    x = 2,425,905,784,645,225/33,675,465
  6. Step 6: Final answer
    x = 72,037,781.35

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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.