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Finding the Third Proportional to 66,225,958,172 and 99,314,613,832

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Solution

The third proportional to 66,225,958,172 and 99,314,613,832 is: 148,935,444,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,225,958,172 : 99,314,613,832 = 99,314,613,832 : x
  2. Step 2: Convert to fraction form
    66,225,958,172/99,314,613,832 = 99,314,613,832/x
  3. Step 3: Cross multiply
    66,225,958,172x = 99,314,613,832 × 99,314,613,832
  4. Step 4: Simplify right side
    66,225,958,172x = 9,863,392,520,599,284,744,192
  5. Step 5: Solve for x
    x = 9,863,392,520,599,284,744,192/66,225,958,172
  6. Step 6: Final answer
    x = 148,935,444,542.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.