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Finding the Third Proportional to 2,357,258,793.75 and 5,133,027,377.25

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Solution

The third proportional to 2,357,258,793.75 and 5,133,027,377.25 is: 11,177,376,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,258,793.75 : 5,133,027,377.25 = 5,133,027,377.25 : x
  2. Step 2: Convert to fraction form
    2,357,258,793.75/5,133,027,377.25 = 5,133,027,377.25/x
  3. Step 3: Cross multiply
    2,357,258,793.75x = 5,133,027,377.25 × 5,133,027,377.25
  4. Step 4: Simplify right side
    2,357,258,793.75x = 26,347,970,055,598,014,464
  5. Step 5: Solve for x
    x = 26,347,970,055,598,014,464/2,357,258,793.75
  6. Step 6: Final answer
    x = 11,177,376,928.43

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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.