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Finding the Third Proportional to 338,501,403 and 737,096,832

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Solution

The third proportional to 338,501,403 and 737,096,832 is: 1,605,050,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,501,403 : 737,096,832 = 737,096,832 : x
  2. Step 2: Convert to fraction form
    338,501,403/737,096,832 = 737,096,832/x
  3. Step 3: Cross multiply
    338,501,403x = 737,096,832 × 737,096,832
  4. Step 4: Simplify right side
    338,501,403x = 543,311,739,744,436,224
  5. Step 5: Solve for x
    x = 543,311,739,744,436,224/338,501,403
  6. Step 6: Final answer
    x = 1,605,050,185.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.