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Finding the Third Proportional to 4,486,357 and 9,784,738

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Solution

The third proportional to 4,486,357 and 9,784,738 is: 21,340,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486,357 : 9,784,738 = 9,784,738 : x
  2. Step 2: Convert to fraction form
    4,486,357/9,784,738 = 9,784,738/x
  3. Step 3: Cross multiply
    4,486,357x = 9,784,738 × 9,784,738
  4. Step 4: Simplify right side
    4,486,357x = 95,741,097,728,644
  5. Step 5: Solve for x
    x = 95,741,097,728,644/4,486,357
  6. Step 6: Final answer
    x = 21,340,499.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.