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Finding the Third Proportional to 8,661,777,932 and 18,566,695,852

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Solution

The third proportional to 8,661,777,932 and 18,566,695,852 is: 39,798,087,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661,777,932 : 18,566,695,852 = 18,566,695,852 : x
  2. Step 2: Convert to fraction form
    8,661,777,932/18,566,695,852 = 18,566,695,852/x
  3. Step 3: Cross multiply
    8,661,777,932x = 18,566,695,852 × 18,566,695,852
  4. Step 4: Simplify right side
    8,661,777,932x = 344,722,194,860,673,990,656
  5. Step 5: Solve for x
    x = 344,722,194,860,673,990,656/8,661,777,932
  6. Step 6: Final answer
    x = 39,798,087,363.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.