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Finding the Third Proportional to 22,171,102,942 and 45,913,766,012

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Solution

The third proportional to 22,171,102,942 and 45,913,766,012 is: 95,082,049,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171,102,942 : 45,913,766,012 = 45,913,766,012 : x
  2. Step 2: Convert to fraction form
    22,171,102,942/45,913,766,012 = 45,913,766,012/x
  3. Step 3: Cross multiply
    22,171,102,942x = 45,913,766,012 × 45,913,766,012
  4. Step 4: Simplify right side
    22,171,102,942x = 2,108,073,909,404,686,352,384
  5. Step 5: Solve for x
    x = 2,108,073,909,404,686,352,384/22,171,102,942
  6. Step 6: Final answer
    x = 95,082,049,590.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.