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Finding the Third Proportional to 284,399,986 and 424,736,330

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Solution

The third proportional to 284,399,986 and 424,736,330 is: 634,321,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,399,986 : 424,736,330 = 424,736,330 : x
  2. Step 2: Convert to fraction form
    284,399,986/424,736,330 = 424,736,330/x
  3. Step 3: Cross multiply
    284,399,986x = 424,736,330 × 424,736,330
  4. Step 4: Simplify right side
    284,399,986x = 180,400,950,021,868,896
  5. Step 5: Solve for x
    x = 180,400,950,021,868,896/284,399,986
  6. Step 6: Final answer
    x = 634,321,233.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.