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Finding the Third Proportional to 51,135,043 and 109,859,462

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Solution

The third proportional to 51,135,043 and 109,859,462 is: 236,024,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135,043 : 109,859,462 = 109,859,462 : x
  2. Step 2: Convert to fraction form
    51,135,043/109,859,462 = 109,859,462/x
  3. Step 3: Cross multiply
    51,135,043x = 109,859,462 × 109,859,462
  4. Step 4: Simplify right side
    51,135,043x = 12,069,101,390,929,444
  5. Step 5: Solve for x
    x = 12,069,101,390,929,444/51,135,043
  6. Step 6: Final answer
    x = 236,024,078.26

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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.