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Finding the Third Proportional to 6,318,317 and 12,321,706

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Solution

The third proportional to 6,318,317 and 12,321,706 is: 24,029,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318,317 : 12,321,706 = 12,321,706 : x
  2. Step 2: Convert to fraction form
    6,318,317/12,321,706 = 12,321,706/x
  3. Step 3: Cross multiply
    6,318,317x = 12,321,706 × 12,321,706
  4. Step 4: Simplify right side
    6,318,317x = 151,824,438,750,436
  5. Step 5: Solve for x
    x = 151,824,438,750,436/6,318,317
  6. Step 6: Final answer
    x = 24,029,253.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.