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Finding the Third Proportional to 4,489,897 and 10,178,456

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Solution

The third proportional to 4,489,897 and 10,178,456 is: 23,074,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,897 : 10,178,456 = 10,178,456 : x
  2. Step 2: Convert to fraction form
    4,489,897/10,178,456 = 10,178,456/x
  3. Step 3: Cross multiply
    4,489,897x = 10,178,456 × 10,178,456
  4. Step 4: Simplify right side
    4,489,897x = 103,600,966,543,936
  5. Step 5: Solve for x
    x = 103,600,966,543,936/4,489,897
  6. Step 6: Final answer
    x = 23,074,241.25

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.