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Finding the Third Proportional to 12,742,169 and 27,512,884

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Solution

The third proportional to 12,742,169 and 27,512,884 is: 59,405,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,169 : 27,512,884 = 27,512,884 : x
  2. Step 2: Convert to fraction form
    12,742,169/27,512,884 = 27,512,884/x
  3. Step 3: Cross multiply
    12,742,169x = 27,512,884 × 27,512,884
  4. Step 4: Simplify right side
    12,742,169x = 756,958,785,997,456
  5. Step 5: Solve for x
    x = 756,958,785,997,456/12,742,169
  6. Step 6: Final answer
    x = 59,405,803.36

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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.