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Finding the Third Proportional to 10,843,652.25 and 14,456,586.38

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Solution

The third proportional to 10,843,652.25 and 14,456,586.38 is: 19,273,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843,652.25 : 14,456,586.38 = 14,456,586.38 : x
  2. Step 2: Convert to fraction form
    10,843,652.25/14,456,586.38 = 14,456,586.38/x
  3. Step 3: Cross multiply
    10,843,652.25x = 14,456,586.38 × 14,456,586.38
  4. Step 4: Simplify right side
    10,843,652.25x = 208,992,889,617,835.62
  5. Step 5: Solve for x
    x = 208,992,889,617,835.62/10,843,652.25
  6. Step 6: Final answer
    x = 19,273,293.24

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.