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Finding the Third Proportional to 38,653,826 and 82,840,828

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Solution

The third proportional to 38,653,826 and 82,840,828 is: 177,540,065.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653,826 : 82,840,828 = 82,840,828 : x
  2. Step 2: Convert to fraction form
    38,653,826/82,840,828 = 82,840,828/x
  3. Step 3: Cross multiply
    38,653,826x = 82,840,828 × 82,840,828
  4. Step 4: Simplify right side
    38,653,826x = 6,862,602,783,725,584
  5. Step 5: Solve for x
    x = 6,862,602,783,725,584/38,653,826
  6. Step 6: Final answer
    x = 177,540,065.08

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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.