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Finding the Third Proportional to 38,653,833 and 82,840,842

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Solution

The third proportional to 38,653,833 and 82,840,842 is: 177,540,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653,833 : 82,840,842 = 82,840,842 : x
  2. Step 2: Convert to fraction form
    38,653,833/82,840,842 = 82,840,842/x
  3. Step 3: Cross multiply
    38,653,833x = 82,840,842 × 82,840,842
  4. Step 4: Simplify right side
    38,653,833x = 6,862,605,103,268,964
  5. Step 5: Solve for x
    x = 6,862,605,103,268,964/38,653,833
  6. Step 6: Final answer
    x = 177,540,092.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.