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Finding the Third Proportional to 112,235,287,066 and 244,228,508,852

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Solution

The third proportional to 112,235,287,066 and 244,228,508,852 is: 531,451,080,095.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,235,287,066 : 244,228,508,852 = 244,228,508,852 : x
  2. Step 2: Convert to fraction form
    112,235,287,066/244,228,508,852 = 244,228,508,852/x
  3. Step 3: Cross multiply
    112,235,287,066x = 244,228,508,852 × 244,228,508,852
  4. Step 4: Simplify right side
    112,235,287,066x = 59,647,564,536,071,445,282,816
  5. Step 5: Solve for x
    x = 59,647,564,536,071,445,282,816/112,235,287,066
  6. Step 6: Final answer
    x = 531,451,080,095.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.