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Finding the Third Proportional to 152,659,878,648 and 335,603,125,551

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Solution

The third proportional to 152,659,878,648 and 335,603,125,551 is: 737,780,344,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,659,878,648 : 335,603,125,551 = 335,603,125,551 : x
  2. Step 2: Convert to fraction form
    152,659,878,648/335,603,125,551 = 335,603,125,551/x
  3. Step 3: Cross multiply
    152,659,878,648x = 335,603,125,551 × 335,603,125,551
  4. Step 4: Simplify right side
    152,659,878,648x = 112,629,457,879,600,275,128,320
  5. Step 5: Solve for x
    x = 112,629,457,879,600,275,128,320/152,659,878,648
  6. Step 6: Final answer
    x = 737,780,344,626.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.