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Finding the Third Proportional to 81,821,779 and 181,803,886

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Solution

The third proportional to 81,821,779 and 181,803,886 is: 403,959,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,821,779 : 181,803,886 = 181,803,886 : x
  2. Step 2: Convert to fraction form
    81,821,779/181,803,886 = 181,803,886/x
  3. Step 3: Cross multiply
    81,821,779x = 181,803,886 × 181,803,886
  4. Step 4: Simplify right side
    81,821,779x = 33,052,652,964,700,996
  5. Step 5: Solve for x
    x = 33,052,652,964,700,996/81,821,779
  6. Step 6: Final answer
    x = 403,959,109.28

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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.