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Finding the Third Proportional to 649,411,824,384 and 993,527,376,768

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Solution

The third proportional to 649,411,824,384 and 993,527,376,768 is: 1,519,985,641,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,411,824,384 : 993,527,376,768 = 993,527,376,768 : x
  2. Step 2: Convert to fraction form
    649,411,824,384/993,527,376,768 = 993,527,376,768/x
  3. Step 3: Cross multiply
    649,411,824,384x = 993,527,376,768 × 993,527,376,768
  4. Step 4: Simplify right side
    649,411,824,384x = 987,096,648,387,503,377,612,800
  5. Step 5: Solve for x
    x = 987,096,648,387,503,377,612,800/649,411,824,384
  6. Step 6: Final answer
    x = 1,519,985,641,351.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.