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Finding the Third Proportional to 47,394,898,753 and 101,922,566,786

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Solution

The third proportional to 47,394,898,753 and 101,922,566,786 is: 219,184,129,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,394,898,753 : 101,922,566,786 = 101,922,566,786 : x
  2. Step 2: Convert to fraction form
    47,394,898,753/101,922,566,786 = 101,922,566,786/x
  3. Step 3: Cross multiply
    47,394,898,753x = 101,922,566,786 × 101,922,566,786
  4. Step 4: Simplify right side
    47,394,898,753x = 10,388,209,620,246,631,284,736
  5. Step 5: Solve for x
    x = 10,388,209,620,246,631,284,736/47,394,898,753
  6. Step 6: Final answer
    x = 219,184,129,380.36

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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.