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Finding the Third Proportional to 9,568,386 and 20,464,524

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Solution

The third proportional to 9,568,386 and 20,464,524 is: 43,768,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568,386 : 20,464,524 = 20,464,524 : x
  2. Step 2: Convert to fraction form
    9,568,386/20,464,524 = 20,464,524/x
  3. Step 3: Cross multiply
    9,568,386x = 20,464,524 × 20,464,524
  4. Step 4: Simplify right side
    9,568,386x = 418,796,742,546,576
  5. Step 5: Solve for x
    x = 418,796,742,546,576/9,568,386
  6. Step 6: Final answer
    x = 43,768,796.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.