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Finding the Third Proportional to 12,742,056 and 27,512,676

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Solution

The third proportional to 12,742,056 and 27,512,676 is: 59,405,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,056 : 27,512,676 = 27,512,676 : x
  2. Step 2: Convert to fraction form
    12,742,056/27,512,676 = 27,512,676/x
  3. Step 3: Cross multiply
    12,742,056x = 27,512,676 × 27,512,676
  4. Step 4: Simplify right side
    12,742,056x = 756,947,340,680,976
  5. Step 5: Solve for x
    x = 756,947,340,680,976/12,742,056
  6. Step 6: Final answer
    x = 59,405,431.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.