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Finding the Third Proportional to 30,916,462.50 and 47,100,010.50

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Solution

The third proportional to 30,916,462.50 and 47,100,010.50 is: 71,755,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916,462.50 : 47,100,010.50 = 47,100,010.50 : x
  2. Step 2: Convert to fraction form
    30,916,462.50/47,100,010.50 = 47,100,010.50/x
  3. Step 3: Cross multiply
    30,916,462.50x = 47,100,010.50 × 47,100,010.50
  4. Step 4: Simplify right side
    30,916,462.50x = 2,218,410,989,100,110.25
  5. Step 5: Solve for x
    x = 2,218,410,989,100,110.25/30,916,462.50
  6. Step 6: Final answer
    x = 71,755,007.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.