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Finding the Third Proportional to 6,461,192 and 10,137,098

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Solution

The third proportional to 6,461,192 and 10,137,098 is: 15,904,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,192 : 10,137,098 = 10,137,098 : x
  2. Step 2: Convert to fraction form
    6,461,192/10,137,098 = 10,137,098/x
  3. Step 3: Cross multiply
    6,461,192x = 10,137,098 × 10,137,098
  4. Step 4: Simplify right side
    6,461,192x = 102,760,755,861,604
  5. Step 5: Solve for x
    x = 102,760,755,861,604/6,461,192
  6. Step 6: Final answer
    x = 15,904,303.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.