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Finding the Third Proportional to 30,904,983 and 49,194,499.50

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Solution

The third proportional to 30,904,983 and 49,194,499.50 is: 78,307,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904,983 : 49,194,499.50 = 49,194,499.50 : x
  2. Step 2: Convert to fraction form
    30,904,983/49,194,499.50 = 49,194,499.50/x
  3. Step 3: Cross multiply
    30,904,983x = 49,194,499.50 × 49,194,499.50
  4. Step 4: Simplify right side
    30,904,983x = 2,420,098,781,055,500
  5. Step 5: Solve for x
    x = 2,420,098,781,055,500/30,904,983
  6. Step 6: Final answer
    x = 78,307,720.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.