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Finding the Third Proportional to 4,129,912 and 8,857,512

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Solution

The third proportional to 4,129,912 and 8,857,512 is: 18,996,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,912 : 8,857,512 = 8,857,512 : x
  2. Step 2: Convert to fraction form
    4,129,912/8,857,512 = 8,857,512/x
  3. Step 3: Cross multiply
    4,129,912x = 8,857,512 × 8,857,512
  4. Step 4: Simplify right side
    4,129,912x = 78,455,518,830,144
  5. Step 5: Solve for x
    x = 78,455,518,830,144/4,129,912
  6. Step 6: Final answer
    x = 18,996,898.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.