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Finding the Third Proportional to 400,723,007.63 and 613,002,294.56

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Solution

The third proportional to 400,723,007.63 and 613,002,294.56 is: 937,734,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,723,007.63 : 613,002,294.56 = 613,002,294.56 : x
  2. Step 2: Convert to fraction form
    400,723,007.63/613,002,294.56 = 613,002,294.56/x
  3. Step 3: Cross multiply
    400,723,007.63x = 613,002,294.56 × 613,002,294.56
  4. Step 4: Simplify right side
    400,723,007.63x = 375,771,813,138,890,048
  5. Step 5: Solve for x
    x = 375,771,813,138,890,048/400,723,007.63
  6. Step 6: Final answer
    x = 937,734,559.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.