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Finding the Third Proportional to 5,877,138 and 8,904,441

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Solution

The third proportional to 5,877,138 and 8,904,441 is: 13,491,102.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,138 : 8,904,441 = 8,904,441 : x
  2. Step 2: Convert to fraction form
    5,877,138/8,904,441 = 8,904,441/x
  3. Step 3: Cross multiply
    5,877,138x = 8,904,441 × 8,904,441
  4. Step 4: Simplify right side
    5,877,138x = 79,289,069,522,481
  5. Step 5: Solve for x
    x = 79,289,069,522,481/5,877,138
  6. Step 6: Final answer
    x = 13,491,102.22

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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.