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Finding the Third Proportional to 302,649,659,499.36 and 666,988,958,453.40

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Solution

The third proportional to 302,649,659,499.36 and 666,988,958,453.40 is: 1,469,931,509,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,649,659,499.36 : 666,988,958,453.40 = 666,988,958,453.40 : x
  2. Step 2: Convert to fraction form
    302,649,659,499.36/666,988,958,453.40 = 666,988,958,453.40/x
  3. Step 3: Cross multiply
    302,649,659,499.36x = 666,988,958,453.40 × 666,988,958,453.40
  4. Step 4: Simplify right side
    302,649,659,499.36x = 444,874,270,698,751,412,666,368
  5. Step 5: Solve for x
    x = 444,874,270,698,751,412,666,368/302,649,659,499.36
  6. Step 6: Final answer
    x = 1,469,931,509,041.37

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Why These Related Problems?

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