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Finding the Third Proportional to 17,888,457,115 and 38,758,162,097

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Solution

The third proportional to 17,888,457,115 and 38,758,162,097 is: 83,975,667,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,888,457,115 : 38,758,162,097 = 38,758,162,097 : x
  2. Step 2: Convert to fraction form
    17,888,457,115/38,758,162,097 = 38,758,162,097/x
  3. Step 3: Cross multiply
    17,888,457,115x = 38,758,162,097 × 38,758,162,097
  4. Step 4: Simplify right side
    17,888,457,115x = 1,502,195,129,137,327,505,408
  5. Step 5: Solve for x
    x = 1,502,195,129,137,327,505,408/17,888,457,115
  6. Step 6: Final answer
    x = 83,975,667,631.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.