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Finding the Third Proportional to 8,722,060,768 and 19,022,722,738

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Solution

The third proportional to 8,722,060,768 and 19,022,722,738 is: 41,488,358,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722,060,768 : 19,022,722,738 = 19,022,722,738 : x
  2. Step 2: Convert to fraction form
    8,722,060,768/19,022,722,738 = 19,022,722,738/x
  3. Step 3: Cross multiply
    8,722,060,768x = 19,022,722,738 × 19,022,722,738
  4. Step 4: Simplify right side
    8,722,060,768x = 361,863,980,366,822,244,352
  5. Step 5: Solve for x
    x = 361,863,980,366,822,244,352/8,722,060,768
  6. Step 6: Final answer
    x = 41,488,358,083.27

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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.