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Finding the Third Proportional to 752,059,708,182 and 1,651,863,572,059.50

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Solution

The third proportional to 752,059,708,182 and 1,651,863,572,059.50 is: 3,628,240,192,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,059,708,182 : 1,651,863,572,059.50 = 1,651,863,572,059.50 : x
  2. Step 2: Convert to fraction form
    752,059,708,182/1,651,863,572,059.50 = 1,651,863,572,059.50/x
  3. Step 3: Cross multiply
    752,059,708,182x = 1,651,863,572,059.50 × 1,651,863,572,059.50
  4. Step 4: Simplify right side
    752,059,708,182x = 2,728,653,260,697,170,689,916,928
  5. Step 5: Solve for x
    x = 2,728,653,260,697,170,689,916,928/752,059,708,182
  6. Step 6: Final answer
    x = 3,628,240,192,914.09

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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.