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Finding the Third Proportional to 3,077,138 and 6,696,110

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Solution

The third proportional to 3,077,138 and 6,696,110 is: 14,571,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,138 : 6,696,110 = 6,696,110 : x
  2. Step 2: Convert to fraction form
    3,077,138/6,696,110 = 6,696,110/x
  3. Step 3: Cross multiply
    3,077,138x = 6,696,110 × 6,696,110
  4. Step 4: Simplify right side
    3,077,138x = 44,837,889,132,100
  5. Step 5: Solve for x
    x = 44,837,889,132,100/3,077,138
  6. Step 6: Final answer
    x = 14,571,296.16

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Why These Related Problems?

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