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Finding the Third Proportional to 30,370,501 and 48,906,509

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Solution

The third proportional to 30,370,501 and 48,906,509 is: 78,755,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370,501 : 48,906,509 = 48,906,509 : x
  2. Step 2: Convert to fraction form
    30,370,501/48,906,509 = 48,906,509/x
  3. Step 3: Cross multiply
    30,370,501x = 48,906,509 × 48,906,509
  4. Step 4: Simplify right side
    30,370,501x = 2,391,846,622,567,081
  5. Step 5: Solve for x
    x = 2,391,846,622,567,081/30,370,501
  6. Step 6: Final answer
    x = 78,755,586.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.