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Finding the Third Proportional to 30,658,800 and 48,094,632

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Solution

The third proportional to 30,658,800 and 48,094,632 is: 75,446,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658,800 : 48,094,632 = 48,094,632 : x
  2. Step 2: Convert to fraction form
    30,658,800/48,094,632 = 48,094,632/x
  3. Step 3: Cross multiply
    30,658,800x = 48,094,632 × 48,094,632
  4. Step 4: Simplify right side
    30,658,800x = 2,313,093,627,215,424
  5. Step 5: Solve for x
    x = 2,313,093,627,215,424/30,658,800
  6. Step 6: Final answer
    x = 75,446,319.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.