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Finding the Third Proportional to 66,312,751,277 and 144,244,182,688.50

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Solution

The third proportional to 66,312,751,277 and 144,244,182,688.50 is: 313,761,438,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,312,751,277 : 144,244,182,688.50 = 144,244,182,688.50 : x
  2. Step 2: Convert to fraction form
    66,312,751,277/144,244,182,688.50 = 144,244,182,688.50/x
  3. Step 3: Cross multiply
    66,312,751,277x = 144,244,182,688.50 × 144,244,182,688.50
  4. Step 4: Simplify right side
    66,312,751,277x = 20,806,384,239,473,361,682,432
  5. Step 5: Solve for x
    x = 20,806,384,239,473,361,682,432/66,312,751,277
  6. Step 6: Final answer
    x = 313,761,438,619.27

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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.