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Finding the Third Proportional to 207,120,042 and 446,519,970

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Solution

The third proportional to 207,120,042 and 446,519,970 is: 962,630,567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,120,042 : 446,519,970 = 446,519,970 : x
  2. Step 2: Convert to fraction form
    207,120,042/446,519,970 = 446,519,970/x
  3. Step 3: Cross multiply
    207,120,042x = 446,519,970 × 446,519,970
  4. Step 4: Simplify right side
    207,120,042x = 199,380,083,608,800,896
  5. Step 5: Solve for x
    x = 199,380,083,608,800,896/207,120,042
  6. Step 6: Final answer
    x = 962,630,567.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.