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Finding the Third Proportional to 17,633,762 and 38,210,167

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Solution

The third proportional to 17,633,762 and 38,210,167 is: 82,796,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633,762 : 38,210,167 = 38,210,167 : x
  2. Step 2: Convert to fraction form
    17,633,762/38,210,167 = 38,210,167/x
  3. Step 3: Cross multiply
    17,633,762x = 38,210,167 × 38,210,167
  4. Step 4: Simplify right side
    17,633,762x = 1,460,016,862,167,889
  5. Step 5: Solve for x
    x = 1,460,016,862,167,889/17,633,762
  6. Step 6: Final answer
    x = 82,796,675.05

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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.