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Finding the Third Proportional to 66,945,345.75 and 101,428,480.97

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Solution

The third proportional to 66,945,345.75 and 101,428,480.97 is: 153,673,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,945,345.75 : 101,428,480.97 = 101,428,480.97 : x
  2. Step 2: Convert to fraction form
    66,945,345.75/101,428,480.97 = 101,428,480.97/x
  3. Step 3: Cross multiply
    66,945,345.75x = 101,428,480.97 × 101,428,480.97
  4. Step 4: Simplify right side
    66,945,345.75x = 10,287,736,751,628,080
  5. Step 5: Solve for x
    x = 10,287,736,751,628,080/66,945,345.75
  6. Step 6: Final answer
    x = 153,673,666.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.