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Finding the Third Proportional to 181,620,616 and 403,552,016

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Solution

The third proportional to 181,620,616 and 403,552,016 is: 896,672,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,620,616 : 403,552,016 = 403,552,016 : x
  2. Step 2: Convert to fraction form
    181,620,616/403,552,016 = 403,552,016/x
  3. Step 3: Cross multiply
    181,620,616x = 403,552,016 × 403,552,016
  4. Step 4: Simplify right side
    181,620,616x = 162,854,229,617,664,256
  5. Step 5: Solve for x
    x = 162,854,229,617,664,256/181,620,616
  6. Step 6: Final answer
    x = 896,672,598.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.