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Finding the Third Proportional to 4,514,049 and 9,764,368

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Solution

The third proportional to 4,514,049 and 9,764,368 is: 21,121,366.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514,049 : 9,764,368 = 9,764,368 : x
  2. Step 2: Convert to fraction form
    4,514,049/9,764,368 = 9,764,368/x
  3. Step 3: Cross multiply
    4,514,049x = 9,764,368 × 9,764,368
  4. Step 4: Simplify right side
    4,514,049x = 95,342,882,439,424
  5. Step 5: Solve for x
    x = 95,342,882,439,424/4,514,049
  6. Step 6: Final answer
    x = 21,121,366.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.