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Finding the Third Proportional to 29,913,120 and 65,067,328

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Solution

The third proportional to 29,913,120 and 65,067,328 is: 141,535,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913,120 : 65,067,328 = 65,067,328 : x
  2. Step 2: Convert to fraction form
    29,913,120/65,067,328 = 65,067,328/x
  3. Step 3: Cross multiply
    29,913,120x = 65,067,328 × 65,067,328
  4. Step 4: Simplify right side
    29,913,120x = 4,233,757,173,059,584
  5. Step 5: Solve for x
    x = 4,233,757,173,059,584/29,913,120
  6. Step 6: Final answer
    x = 141,535,124.82

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