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Finding the Third Proportional to 5,781,510 and 12,214,188

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Solution

The third proportional to 5,781,510 and 12,214,188 is: 25,804,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,510 : 12,214,188 = 12,214,188 : x
  2. Step 2: Convert to fraction form
    5,781,510/12,214,188 = 12,214,188/x
  3. Step 3: Cross multiply
    5,781,510x = 12,214,188 × 12,214,188
  4. Step 4: Simplify right side
    5,781,510x = 149,186,388,499,344
  5. Step 5: Solve for x
    x = 149,186,388,499,344/5,781,510
  6. Step 6: Final answer
    x = 25,804,052.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.