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Finding the Third Proportional to 13,952,214.56 and 20,529,737.30

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Solution

The third proportional to 13,952,214.56 and 20,529,737.30 is: 30,208,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952,214.56 : 20,529,737.30 = 20,529,737.30 : x
  2. Step 2: Convert to fraction form
    13,952,214.56/20,529,737.30 = 20,529,737.30/x
  3. Step 3: Cross multiply
    13,952,214.56x = 20,529,737.30 × 20,529,737.30
  4. Step 4: Simplify right side
    13,952,214.56x = 421,470,113,478,700.44
  5. Step 5: Solve for x
    x = 421,470,113,478,700.44/13,952,214.56
  6. Step 6: Final answer
    x = 30,208,115.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.