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Finding the Third Proportional to 6,586,905.50 and 14,273,368

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Solution

The third proportional to 6,586,905.50 and 14,273,368 is: 30,929,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586,905.50 : 14,273,368 = 14,273,368 : x
  2. Step 2: Convert to fraction form
    6,586,905.50/14,273,368 = 14,273,368/x
  3. Step 3: Cross multiply
    6,586,905.50x = 14,273,368 × 14,273,368
  4. Step 4: Simplify right side
    6,586,905.50x = 203,729,034,063,424
  5. Step 5: Solve for x
    x = 203,729,034,063,424/6,586,905.50
  6. Step 6: Final answer
    x = 30,929,399.86

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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.