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Finding the Third Proportional to 33,693,825 and 49,277,136

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Solution

The third proportional to 33,693,825 and 49,277,136 is: 72,067,689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,693,825 : 49,277,136 = 49,277,136 : x
  2. Step 2: Convert to fraction form
    33,693,825/49,277,136 = 49,277,136/x
  3. Step 3: Cross multiply
    33,693,825x = 49,277,136 × 49,277,136
  4. Step 4: Simplify right side
    33,693,825x = 2,428,236,132,362,496
  5. Step 5: Solve for x
    x = 2,428,236,132,362,496/33,693,825
  6. Step 6: Final answer
    x = 72,067,689.92

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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.