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Finding the Third Proportional to 78,554,949,915 and 172,318,542,774

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Solution

The third proportional to 78,554,949,915 and 172,318,542,774 is: 377,998,843,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554,949,915 : 172,318,542,774 = 172,318,542,774 : x
  2. Step 2: Convert to fraction form
    78,554,949,915/172,318,542,774 = 172,318,542,774/x
  3. Step 3: Cross multiply
    78,554,949,915x = 172,318,542,774 × 172,318,542,774
  4. Step 4: Simplify right side
    78,554,949,915x = 29,693,680,183,754,868,391,936
  5. Step 5: Solve for x
    x = 29,693,680,183,754,868,391,936/78,554,949,915
  6. Step 6: Final answer
    x = 377,998,843,050.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.