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Finding the Third Proportional to 403,646,576 and 613,632,480

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Solution

The third proportional to 403,646,576 and 613,632,480 is: 932,857,709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,646,576 : 613,632,480 = 613,632,480 : x
  2. Step 2: Convert to fraction form
    403,646,576/613,632,480 = 613,632,480/x
  3. Step 3: Cross multiply
    403,646,576x = 613,632,480 × 613,632,480
  4. Step 4: Simplify right side
    403,646,576x = 376,544,820,510,950,400
  5. Step 5: Solve for x
    x = 376,544,820,510,950,400/403,646,576
  6. Step 6: Final answer
    x = 932,857,709.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.