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Finding the Third Proportional to 331,855,092 and 478,048,446

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Solution

The third proportional to 331,855,092 and 478,048,446 is: 688,644,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,855,092 : 478,048,446 = 478,048,446 : x
  2. Step 2: Convert to fraction form
    331,855,092/478,048,446 = 478,048,446/x
  3. Step 3: Cross multiply
    331,855,092x = 478,048,446 × 478,048,446
  4. Step 4: Simplify right side
    331,855,092x = 228,530,316,723,014,912
  5. Step 5: Solve for x
    x = 228,530,316,723,014,912/331,855,092
  6. Step 6: Final answer
    x = 688,644,900.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.