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Finding the Third Proportional to 8,146,827 and 16,963,317

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Solution

The third proportional to 8,146,827 and 16,963,317 is: 35,321,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146,827 : 16,963,317 = 16,963,317 : x
  2. Step 2: Convert to fraction form
    8,146,827/16,963,317 = 16,963,317/x
  3. Step 3: Cross multiply
    8,146,827x = 16,963,317 × 16,963,317
  4. Step 4: Simplify right side
    8,146,827x = 287,754,123,642,489
  5. Step 5: Solve for x
    x = 287,754,123,642,489/8,146,827
  6. Step 6: Final answer
    x = 35,321,005.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.