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Finding the Third Proportional to 501,682,648.50 and 1,080,247,089

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Solution

The third proportional to 501,682,648.50 and 1,080,247,089 is: 2,326,039,732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,682,648.50 : 1,080,247,089 = 1,080,247,089 : x
  2. Step 2: Convert to fraction form
    501,682,648.50/1,080,247,089 = 1,080,247,089/x
  3. Step 3: Cross multiply
    501,682,648.50x = 1,080,247,089 × 1,080,247,089
  4. Step 4: Simplify right side
    501,682,648.50x = 1,166,933,773,292,973,824
  5. Step 5: Solve for x
    x = 1,166,933,773,292,973,824/501,682,648.50
  6. Step 6: Final answer
    x = 2,326,039,732.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.