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Finding the Third Proportional to 7,431,810.75 and 16,325,079.19

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Solution

The third proportional to 7,431,810.75 and 16,325,079.19 is: 35,860,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431,810.75 : 16,325,079.19 = 16,325,079.19 : x
  2. Step 2: Convert to fraction form
    7,431,810.75/16,325,079.19 = 16,325,079.19/x
  3. Step 3: Cross multiply
    7,431,810.75x = 16,325,079.19 × 16,325,079.19
  4. Step 4: Simplify right side
    7,431,810.75x = 266,508,210,478,145.66
  5. Step 5: Solve for x
    x = 266,508,210,478,145.66/7,431,810.75
  6. Step 6: Final answer
    x = 35,860,467.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.