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Finding the Third Proportional to 4,286,768 and 9,246,610

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Solution

The third proportional to 4,286,768 and 9,246,610 is: 19,945,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,768 : 9,246,610 = 9,246,610 : x
  2. Step 2: Convert to fraction form
    4,286,768/9,246,610 = 9,246,610/x
  3. Step 3: Cross multiply
    4,286,768x = 9,246,610 × 9,246,610
  4. Step 4: Simplify right side
    4,286,768x = 85,499,796,492,100
  5. Step 5: Solve for x
    x = 85,499,796,492,100/4,286,768
  6. Step 6: Final answer
    x = 19,945,048.69

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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.