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Finding the Third Proportional to 20,297,614.50 and 31,477,477.50

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Solution

The third proportional to 20,297,614.50 and 31,477,477.50 is: 48,815,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297,614.50 : 31,477,477.50 = 31,477,477.50 : x
  2. Step 2: Convert to fraction form
    20,297,614.50/31,477,477.50 = 31,477,477.50/x
  3. Step 3: Cross multiply
    20,297,614.50x = 31,477,477.50 × 31,477,477.50
  4. Step 4: Simplify right side
    20,297,614.50x = 990,831,589,763,006.25
  5. Step 5: Solve for x
    x = 990,831,589,763,006.25/20,297,614.50
  6. Step 6: Final answer
    x = 48,815,174.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.