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Finding the Third Proportional to 36,376,684 and 54,942,693

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Solution

The third proportional to 36,376,684 and 54,942,693 is: 82,984,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,376,684 : 54,942,693 = 54,942,693 : x
  2. Step 2: Convert to fraction form
    36,376,684/54,942,693 = 54,942,693/x
  3. Step 3: Cross multiply
    36,376,684x = 54,942,693 × 54,942,693
  4. Step 4: Simplify right side
    36,376,684x = 3,018,699,514,092,249
  5. Step 5: Solve for x
    x = 3,018,699,514,092,249/36,376,684
  6. Step 6: Final answer
    x = 82,984,460.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.