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Finding the Third Proportional to 65,419,758 and 142,722,297

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Solution

The third proportional to 65,419,758 and 142,722,297 is: 311,368,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419,758 : 142,722,297 = 142,722,297 : x
  2. Step 2: Convert to fraction form
    65,419,758/142,722,297 = 142,722,297/x
  3. Step 3: Cross multiply
    65,419,758x = 142,722,297 × 142,722,297
  4. Step 4: Simplify right side
    65,419,758x = 20,369,654,060,956,208
  5. Step 5: Solve for x
    x = 20,369,654,060,956,208/65,419,758
  6. Step 6: Final answer
    x = 311,368,532.74

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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.