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Finding the Third Proportional to 31,501,462.50 and 47,253,037.50

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Solution

The third proportional to 31,501,462.50 and 47,253,037.50 is: 70,880,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501,462.50 : 47,253,037.50 = 47,253,037.50 : x
  2. Step 2: Convert to fraction form
    31,501,462.50/47,253,037.50 = 47,253,037.50/x
  3. Step 3: Cross multiply
    31,501,462.50x = 47,253,037.50 × 47,253,037.50
  4. Step 4: Simplify right side
    31,501,462.50x = 2,232,849,552,976,406.25
  5. Step 5: Solve for x
    x = 2,232,849,552,976,406.25/31,501,462.50
  6. Step 6: Final answer
    x = 70,880,821.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.