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Finding the Third Proportional to 29,913,069 and 65,067,197

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Solution

The third proportional to 29,913,069 and 65,067,197 is: 141,534,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913,069 : 65,067,197 = 65,067,197 : x
  2. Step 2: Convert to fraction form
    29,913,069/65,067,197 = 65,067,197/x
  3. Step 3: Cross multiply
    29,913,069x = 65,067,197 × 65,067,197
  4. Step 4: Simplify right side
    29,913,069x = 4,233,740,125,436,809
  5. Step 5: Solve for x
    x = 4,233,740,125,436,809/29,913,069
  6. Step 6: Final answer
    x = 141,534,796.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.