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Finding the Third Proportional to 4,796,857 and 9,786,403

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Solution

The third proportional to 4,796,857 and 9,786,403 is: 19,965,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796,857 : 9,786,403 = 9,786,403 : x
  2. Step 2: Convert to fraction form
    4,796,857/9,786,403 = 9,786,403/x
  3. Step 3: Cross multiply
    4,796,857x = 9,786,403 × 9,786,403
  4. Step 4: Simplify right side
    4,796,857x = 95,773,683,678,409
  5. Step 5: Solve for x
    x = 95,773,683,678,409/4,796,857
  6. Step 6: Final answer
    x = 19,965,924.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.