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Finding the Third Proportional to 176,059,894,215 and 381,354,740,632

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Solution

The third proportional to 176,059,894,215 and 381,354,740,632 is: 826,033,883,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,059,894,215 : 381,354,740,632 = 381,354,740,632 : x
  2. Step 2: Convert to fraction form
    176,059,894,215/381,354,740,632 = 381,354,740,632/x
  3. Step 3: Cross multiply
    176,059,894,215x = 381,354,740,632 × 381,354,740,632
  4. Step 4: Simplify right side
    176,059,894,215x = 145,431,438,202,499,997,106,176
  5. Step 5: Solve for x
    x = 145,431,438,202,499,997,106,176/176,059,894,215
  6. Step 6: Final answer
    x = 826,033,883,815.15

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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.