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Finding the Third Proportional to 11,823,005 and 25,414,090

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Solution

The third proportional to 11,823,005 and 25,414,090 is: 54,628,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,823,005 : 25,414,090 = 25,414,090 : x
  2. Step 2: Convert to fraction form
    11,823,005/25,414,090 = 25,414,090/x
  3. Step 3: Cross multiply
    11,823,005x = 25,414,090 × 25,414,090
  4. Step 4: Simplify right side
    11,823,005x = 645,875,970,528,100
  5. Step 5: Solve for x
    x = 645,875,970,528,100/11,823,005
  6. Step 6: Final answer
    x = 54,628,748.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.