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Finding the Third Proportional to 34,950,824 and 54,707,196

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Solution

The third proportional to 34,950,824 and 54,707,196 is: 85,631,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,950,824 : 54,707,196 = 54,707,196 : x
  2. Step 2: Convert to fraction form
    34,950,824/54,707,196 = 54,707,196/x
  3. Step 3: Cross multiply
    34,950,824x = 54,707,196 × 54,707,196
  4. Step 4: Simplify right side
    34,950,824x = 2,992,877,294,182,416
  5. Step 5: Solve for x
    x = 2,992,877,294,182,416/34,950,824
  6. Step 6: Final answer
    x = 85,631,093.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.