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Finding the Third Proportional to 6,467,152.50 and 10,145,041.13

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Solution

The third proportional to 6,467,152.50 and 10,145,041.13 is: 15,914,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467,152.50 : 10,145,041.13 = 10,145,041.13 : x
  2. Step 2: Convert to fraction form
    6,467,152.50/10,145,041.13 = 10,145,041.13/x
  3. Step 3: Cross multiply
    6,467,152.50x = 10,145,041.13 × 10,145,041.13
  4. Step 4: Simplify right side
    6,467,152.50x = 102,921,859,427,941.27
  5. Step 5: Solve for x
    x = 102,921,859,427,941.27/6,467,152.50
  6. Step 6: Final answer
    x = 15,914,555.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.