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Finding the Third Proportional to 338,501,412 and 737,096,852

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Solution

The third proportional to 338,501,412 and 737,096,852 is: 1,605,050,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,501,412 : 737,096,852 = 737,096,852 : x
  2. Step 2: Convert to fraction form
    338,501,412/737,096,852 = 737,096,852/x
  3. Step 3: Cross multiply
    338,501,412x = 737,096,852 × 737,096,852
  4. Step 4: Simplify right side
    338,501,412x = 543,311,769,228,309,888
  5. Step 5: Solve for x
    x = 543,311,769,228,309,888/338,501,412
  6. Step 6: Final answer
    x = 1,605,050,230.13

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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.