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Finding the Third Proportional to 10,675,400,274 and 22,234,384,998

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Solution

The third proportional to 10,675,400,274 and 22,234,384,998 is: 46,309,071,655.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,400,274 : 22,234,384,998 = 22,234,384,998 : x
  2. Step 2: Convert to fraction form
    10,675,400,274/22,234,384,998 = 22,234,384,998/x
  3. Step 3: Cross multiply
    10,675,400,274x = 22,234,384,998 × 22,234,384,998
  4. Step 4: Simplify right side
    10,675,400,274x = 494,367,876,239,287,451,648
  5. Step 5: Solve for x
    x = 494,367,876,239,287,451,648/10,675,400,274
  6. Step 6: Final answer
    x = 46,309,071,655.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.