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Finding the Third Proportional to 6,594,869 and 14,317,729

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Solution

The third proportional to 6,594,869 and 14,317,729 is: 31,084,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594,869 : 14,317,729 = 14,317,729 : x
  2. Step 2: Convert to fraction form
    6,594,869/14,317,729 = 14,317,729/x
  3. Step 3: Cross multiply
    6,594,869x = 14,317,729 × 14,317,729
  4. Step 4: Simplify right side
    6,594,869x = 204,997,363,717,441
  5. Step 5: Solve for x
    x = 204,997,363,717,441/6,594,869
  6. Step 6: Final answer
    x = 31,084,372.37

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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.