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Finding the Third Proportional to 14,863,508.25 and 32,649,942.38

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Solution

The third proportional to 14,863,508.25 and 32,649,942.38 is: 71,720,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863,508.25 : 32,649,942.38 = 32,649,942.38 : x
  2. Step 2: Convert to fraction form
    14,863,508.25/32,649,942.38 = 32,649,942.38/x
  3. Step 3: Cross multiply
    14,863,508.25x = 32,649,942.38 × 32,649,942.38
  4. Step 4: Simplify right side
    14,863,508.25x = 1,066,018,737,090,820.62
  5. Step 5: Solve for x
    x = 1,066,018,737,090,820.62/14,863,508.25
  6. Step 6: Final answer
    x = 71,720,533.21

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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.