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Finding the Third Proportional to 6,168,084.19 and 13,365,835.31

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Solution

The third proportional to 6,168,084.19 and 13,365,835.31 is: 28,962,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,084.19 : 13,365,835.31 = 13,365,835.31 : x
  2. Step 2: Convert to fraction form
    6,168,084.19/13,365,835.31 = 13,365,835.31/x
  3. Step 3: Cross multiply
    6,168,084.19x = 13,365,835.31 × 13,365,835.31
  4. Step 4: Simplify right side
    6,168,084.19x = 178,645,553,600,871.97
  5. Step 5: Solve for x
    x = 178,645,553,600,871.97/6,168,084.19
  6. Step 6: Final answer
    x = 28,962,891.58

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