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Finding the Third Proportional to 2,355,124,224 and 5,138,025,384

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Solution

The third proportional to 2,355,124,224 and 5,138,025,384 is: 11,209,304,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355,124,224 : 5,138,025,384 = 5,138,025,384 : x
  2. Step 2: Convert to fraction form
    2,355,124,224/5,138,025,384 = 5,138,025,384/x
  3. Step 3: Cross multiply
    2,355,124,224x = 5,138,025,384 × 5,138,025,384
  4. Step 4: Simplify right side
    2,355,124,224x = 26,399,304,846,628,347,904
  5. Step 5: Solve for x
    x = 26,399,304,846,628,347,904/2,355,124,224
  6. Step 6: Final answer
    x = 11,209,304,620.79

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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.