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Finding the Third Proportional to 25,156,742 and 53,214,016

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Solution

The third proportional to 25,156,742 and 53,214,016 is: 112,563,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,156,742 : 53,214,016 = 53,214,016 : x
  2. Step 2: Convert to fraction form
    25,156,742/53,214,016 = 53,214,016/x
  3. Step 3: Cross multiply
    25,156,742x = 53,214,016 × 53,214,016
  4. Step 4: Simplify right side
    25,156,742x = 2,831,731,498,848,256
  5. Step 5: Solve for x
    x = 2,831,731,498,848,256/25,156,742
  6. Step 6: Final answer
    x = 112,563,522.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.