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Finding the Third Proportional to 6,594,923 and 14,317,838

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Solution

The third proportional to 6,594,923 and 14,317,838 is: 31,084,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,923 : 14,317,838 = 14,317,838 : x
  2. Step 2: Convert to fraction form
    6,594,923/14,317,838 = 14,317,838/x
  3. Step 3: Cross multiply
    6,594,923x = 14,317,838 × 14,317,838
  4. Step 4: Simplify right side
    6,594,923x = 205,000,484,994,244
  5. Step 5: Solve for x
    x = 205,000,484,994,244/6,594,923
  6. Step 6: Final answer
    x = 31,084,591.13

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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.