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Finding the Third Proportional to 4,516,442,772 and 9,783,378,648

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Solution

The third proportional to 4,516,442,772 and 9,783,378,648 is: 21,192,452,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,442,772 : 9,783,378,648 = 9,783,378,648 : x
  2. Step 2: Convert to fraction form
    4,516,442,772/9,783,378,648 = 9,783,378,648/x
  3. Step 3: Cross multiply
    4,516,442,772x = 9,783,378,648 × 9,783,378,648
  4. Step 4: Simplify right side
    4,516,442,772x = 95,714,497,770,142,302,208
  5. Step 5: Solve for x
    x = 95,714,497,770,142,302,208/4,516,442,772
  6. Step 6: Final answer
    x = 21,192,452,246.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.