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Finding the Third Proportional to 5,877,175 and 8,904,471

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Solution

The third proportional to 5,877,175 and 8,904,471 is: 13,491,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,175 : 8,904,471 = 8,904,471 : x
  2. Step 2: Convert to fraction form
    5,877,175/8,904,471 = 8,904,471/x
  3. Step 3: Cross multiply
    5,877,175x = 8,904,471 × 8,904,471
  4. Step 4: Simplify right side
    5,877,175x = 79,289,603,789,841
  5. Step 5: Solve for x
    x = 79,289,603,789,841/5,877,175
  6. Step 6: Final answer
    x = 13,491,108.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.