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Finding the Third Proportional to 6,738,143 and 14,656,876

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Solution

The third proportional to 6,738,143 and 14,656,876 is: 31,881,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,143 : 14,656,876 = 14,656,876 : x
  2. Step 2: Convert to fraction form
    6,738,143/14,656,876 = 14,656,876/x
  3. Step 3: Cross multiply
    6,738,143x = 14,656,876 × 14,656,876
  4. Step 4: Simplify right side
    6,738,143x = 214,824,014,079,376
  5. Step 5: Solve for x
    x = 214,824,014,079,376/6,738,143
  6. Step 6: Final answer
    x = 31,881,783.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.