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Finding the Third Proportional to 33,070,828 and 49,639,210

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Solution

The third proportional to 33,070,828 and 49,639,210 is: 74,508,299.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070,828 : 49,639,210 = 49,639,210 : x
  2. Step 2: Convert to fraction form
    33,070,828/49,639,210 = 49,639,210/x
  3. Step 3: Cross multiply
    33,070,828x = 49,639,210 × 49,639,210
  4. Step 4: Simplify right side
    33,070,828x = 2,464,051,169,424,100
  5. Step 5: Solve for x
    x = 2,464,051,169,424,100/33,070,828
  6. Step 6: Final answer
    x = 74,508,299.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.