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Finding the Third Proportional to 266,449,014 and 399,673,494

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Solution

The third proportional to 266,449,014 and 399,673,494 is: 599,510,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,449,014 : 399,673,494 = 399,673,494 : x
  2. Step 2: Convert to fraction form
    266,449,014/399,673,494 = 399,673,494/x
  3. Step 3: Cross multiply
    266,449,014x = 399,673,494 × 399,673,494
  4. Step 4: Simplify right side
    266,449,014x = 159,738,901,806,168,032
  5. Step 5: Solve for x
    x = 159,738,901,806,168,032/266,449,014
  6. Step 6: Final answer
    x = 599,510,200.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.