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Finding the Third Proportional to 2,334,239,413 and 5,041,177,247

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Solution

The third proportional to 2,334,239,413 and 5,041,177,247 is: 10,887,258,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,334,239,413 : 5,041,177,247 = 5,041,177,247 : x
  2. Step 2: Convert to fraction form
    2,334,239,413/5,041,177,247 = 5,041,177,247/x
  3. Step 3: Cross multiply
    2,334,239,413x = 5,041,177,247 × 5,041,177,247
  4. Step 4: Simplify right side
    2,334,239,413x = 25,413,468,035,670,499,328
  5. Step 5: Solve for x
    x = 25,413,468,035,670,499,328/2,334,239,413
  6. Step 6: Final answer
    x = 10,887,258,562.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.