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Finding the Third Proportional to 33,986,769 and 51,955,443

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Solution

The third proportional to 33,986,769 and 51,955,443 is: 79,424,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,986,769 : 51,955,443 = 51,955,443 : x
  2. Step 2: Convert to fraction form
    33,986,769/51,955,443 = 51,955,443/x
  3. Step 3: Cross multiply
    33,986,769x = 51,955,443 × 51,955,443
  4. Step 4: Simplify right side
    33,986,769x = 2,699,368,057,326,249
  5. Step 5: Solve for x
    x = 2,699,368,057,326,249/33,986,769
  6. Step 6: Final answer
    x = 79,424,085.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.