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Finding the Third Proportional to 81,807,486 and 181,775,072

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Solution

The third proportional to 81,807,486 and 181,775,072 is: 403,901,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807,486 : 181,775,072 = 181,775,072 : x
  2. Step 2: Convert to fraction form
    81,807,486/181,775,072 = 181,775,072/x
  3. Step 3: Cross multiply
    81,807,486x = 181,775,072 × 181,775,072
  4. Step 4: Simplify right side
    81,807,486x = 33,042,176,800,605,184
  5. Step 5: Solve for x
    x = 33,042,176,800,605,184/81,807,486
  6. Step 6: Final answer
    x = 403,901,628.28

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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.