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Finding the Third Proportional to 66,233,149,573 and 144,453,802,009

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Solution

The third proportional to 66,233,149,573 and 144,453,802,009 is: 315,052,221,574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,233,149,573 : 144,453,802,009 = 144,453,802,009 : x
  2. Step 2: Convert to fraction form
    66,233,149,573/144,453,802,009 = 144,453,802,009/x
  3. Step 3: Cross multiply
    66,233,149,573x = 144,453,802,009 × 144,453,802,009
  4. Step 4: Simplify right side
    66,233,149,573x = 20,866,900,914,855,374,487,552
  5. Step 5: Solve for x
    x = 20,866,900,914,855,374,487,552/66,233,149,573
  6. Step 6: Final answer
    x = 315,052,221,574.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.