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Finding the Third Proportional to 5,012,467.50 and 8,070,803.25

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Solution

The third proportional to 5,012,467.50 and 8,070,803.25 is: 12,995,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012,467.50 : 8,070,803.25 = 8,070,803.25 : x
  2. Step 2: Convert to fraction form
    5,012,467.50/8,070,803.25 = 8,070,803.25/x
  3. Step 3: Cross multiply
    5,012,467.50x = 8,070,803.25 × 8,070,803.25
  4. Step 4: Simplify right side
    5,012,467.50x = 65,137,865,100,210.56
  5. Step 5: Solve for x
    x = 65,137,865,100,210.56/5,012,467.50
  6. Step 6: Final answer
    x = 12,995,169.56

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Why These Related Problems?

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