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Finding the Third Proportional to 5,702,043 and 12,407,916

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Solution

The third proportional to 5,702,043 and 12,407,916 is: 27,000,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,043 : 12,407,916 = 12,407,916 : x
  2. Step 2: Convert to fraction form
    5,702,043/12,407,916 = 12,407,916/x
  3. Step 3: Cross multiply
    5,702,043x = 12,407,916 × 12,407,916
  4. Step 4: Simplify right side
    5,702,043x = 153,956,379,463,056
  5. Step 5: Solve for x
    x = 153,956,379,463,056/5,702,043
  6. Step 6: Final answer
    x = 27,000,213.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.