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Finding the Third Proportional to 5,781,464 and 12,214,096

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Solution

The third proportional to 5,781,464 and 12,214,096 is: 25,803,869.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,464 : 12,214,096 = 12,214,096 : x
  2. Step 2: Convert to fraction form
    5,781,464/12,214,096 = 12,214,096/x
  3. Step 3: Cross multiply
    5,781,464x = 12,214,096 × 12,214,096
  4. Step 4: Simplify right side
    5,781,464x = 149,184,141,097,216
  5. Step 5: Solve for x
    x = 149,184,141,097,216/5,781,464
  6. Step 6: Final answer
    x = 25,803,869.24

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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.