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Finding the Third Proportional to 172,457,454,476 and 377,425,745,598

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Solution

The third proportional to 172,457,454,476 and 377,425,745,598 is: 826,001,948,556.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,457,454,476 : 377,425,745,598 = 377,425,745,598 : x
  2. Step 2: Convert to fraction form
    172,457,454,476/377,425,745,598 = 377,425,745,598/x
  3. Step 3: Cross multiply
    172,457,454,476x = 377,425,745,598 × 377,425,745,598
  4. Step 4: Simplify right side
    172,457,454,476x = 142,450,193,440,206,210,727,936
  5. Step 5: Solve for x
    x = 142,450,193,440,206,210,727,936/172,457,454,476
  6. Step 6: Final answer
    x = 826,001,948,556.13

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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.