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Finding the Third Proportional to 17,888,457,111 and 38,758,162,089

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Solution

The third proportional to 17,888,457,111 and 38,758,162,089 is: 83,975,667,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,888,457,111 : 38,758,162,089 = 38,758,162,089 : x
  2. Step 2: Convert to fraction form
    17,888,457,111/38,758,162,089 = 38,758,162,089/x
  3. Step 3: Cross multiply
    17,888,457,111x = 38,758,162,089 × 38,758,162,089
  4. Step 4: Simplify right side
    17,888,457,111x = 1,502,195,128,517,196,775,424
  5. Step 5: Solve for x
    x = 1,502,195,128,517,196,775,424/17,888,457,111
  6. Step 6: Final answer
    x = 83,975,667,616.04

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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.