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Finding the Third Proportional to 31,468,548 and 48,600,318

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Solution

The third proportional to 31,468,548 and 48,600,318 is: 75,058,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468,548 : 48,600,318 = 48,600,318 : x
  2. Step 2: Convert to fraction form
    31,468,548/48,600,318 = 48,600,318/x
  3. Step 3: Cross multiply
    31,468,548x = 48,600,318 × 48,600,318
  4. Step 4: Simplify right side
    31,468,548x = 2,361,990,909,701,124
  5. Step 5: Solve for x
    x = 2,361,990,909,701,124/31,468,548
  6. Step 6: Final answer
    x = 75,058,782.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.