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Finding the Third Proportional to 5,230,896 and 11,263,332

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Solution

The third proportional to 5,230,896 and 11,263,332 is: 24,252,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,896 : 11,263,332 = 11,263,332 : x
  2. Step 2: Convert to fraction form
    5,230,896/11,263,332 = 11,263,332/x
  3. Step 3: Cross multiply
    5,230,896x = 11,263,332 × 11,263,332
  4. Step 4: Simplify right side
    5,230,896x = 126,862,647,742,224
  5. Step 5: Solve for x
    x = 126,862,647,742,224/5,230,896
  6. Step 6: Final answer
    x = 24,252,565.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.