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Finding the Third Proportional to 30,370,494.75 and 48,906,499.50

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Solution

The third proportional to 30,370,494.75 and 48,906,499.50 is: 78,755,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370,494.75 : 48,906,499.50 = 48,906,499.50 : x
  2. Step 2: Convert to fraction form
    30,370,494.75/48,906,499.50 = 48,906,499.50/x
  3. Step 3: Cross multiply
    30,370,494.75x = 48,906,499.50 × 48,906,499.50
  4. Step 4: Simplify right side
    30,370,494.75x = 2,391,845,693,343,500
  5. Step 5: Solve for x
    x = 2,391,845,693,343,500/30,370,494.75
  6. Step 6: Final answer
    x = 78,755,572.24

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