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Finding the Third Proportional to 33,514,080 and 51,245,040

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Solution

The third proportional to 33,514,080 and 51,245,040 is: 78,356,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514,080 : 51,245,040 = 51,245,040 : x
  2. Step 2: Convert to fraction form
    33,514,080/51,245,040 = 51,245,040/x
  3. Step 3: Cross multiply
    33,514,080x = 51,245,040 × 51,245,040
  4. Step 4: Simplify right side
    33,514,080x = 2,626,054,124,601,600
  5. Step 5: Solve for x
    x = 2,626,054,124,601,600/33,514,080
  6. Step 6: Final answer
    x = 78,356,742.14

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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.