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Finding the Third Proportional to 172,457,454,470 and 377,425,745,586

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Solution

The third proportional to 172,457,454,470 and 377,425,745,586 is: 826,001,948,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,457,454,470 : 377,425,745,586 = 377,425,745,586 : x
  2. Step 2: Convert to fraction form
    172,457,454,470/377,425,745,586 = 377,425,745,586/x
  3. Step 3: Cross multiply
    172,457,454,470x = 377,425,745,586 × 377,425,745,586
  4. Step 4: Simplify right side
    172,457,454,470x = 142,450,193,431,147,990,482,944
  5. Step 5: Solve for x
    x = 142,450,193,431,147,990,482,944/172,457,454,470
  6. Step 6: Final answer
    x = 826,001,948,532.34

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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.