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Finding the Third Proportional to 66,005,747,268.75 and 142,976,954,709

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Solution

The third proportional to 66,005,747,268.75 and 142,976,954,709 is: 309,706,509,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,005,747,268.75 : 142,976,954,709 = 142,976,954,709 : x
  2. Step 2: Convert to fraction form
    66,005,747,268.75/142,976,954,709 = 142,976,954,709/x
  3. Step 3: Cross multiply
    66,005,747,268.75x = 142,976,954,709 × 142,976,954,709
  4. Step 4: Simplify right side
    66,005,747,268.75x = 20,442,409,577,859,436,773,376
  5. Step 5: Solve for x
    x = 20,442,409,577,859,436,773,376/66,005,747,268.75
  6. Step 6: Final answer
    x = 309,706,509,262.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.