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Finding the Third Proportional to 13,686,876 and 29,395,512

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Solution

The third proportional to 13,686,876 and 29,395,512 is: 63,133,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686,876 : 29,395,512 = 29,395,512 : x
  2. Step 2: Convert to fraction form
    13,686,876/29,395,512 = 29,395,512/x
  3. Step 3: Cross multiply
    13,686,876x = 29,395,512 × 29,395,512
  4. Step 4: Simplify right side
    13,686,876x = 864,096,125,742,144
  5. Step 5: Solve for x
    x = 864,096,125,742,144/13,686,876
  6. Step 6: Final answer
    x = 63,133,188.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.