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Finding the Third Proportional to 307,011,123 and 501,268,463

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Solution

The third proportional to 307,011,123 and 501,268,463 is: 818,439,636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,011,123 : 501,268,463 = 501,268,463 : x
  2. Step 2: Convert to fraction form
    307,011,123/501,268,463 = 501,268,463/x
  3. Step 3: Cross multiply
    307,011,123x = 501,268,463 × 501,268,463
  4. Step 4: Simplify right side
    307,011,123x = 251,270,071,998,382,368
  5. Step 5: Solve for x
    x = 251,270,071,998,382,368/307,011,123
  6. Step 6: Final answer
    x = 818,439,636.79

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.