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Finding the Third Proportional to 6,594,942 and 14,317,876

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Solution

The third proportional to 6,594,942 and 14,317,876 is: 31,084,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,942 : 14,317,876 = 14,317,876 : x
  2. Step 2: Convert to fraction form
    6,594,942/14,317,876 = 14,317,876/x
  3. Step 3: Cross multiply
    6,594,942x = 14,317,876 × 14,317,876
  4. Step 4: Simplify right side
    6,594,942x = 205,001,573,151,376
  5. Step 5: Solve for x
    x = 205,001,573,151,376/6,594,942
  6. Step 6: Final answer
    x = 31,084,666.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.