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Finding the Third Proportional to 4,516,442,768 and 9,783,378,640

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Solution

The third proportional to 4,516,442,768 and 9,783,378,640 is: 21,192,452,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516,442,768 : 9,783,378,640 = 9,783,378,640 : x
  2. Step 2: Convert to fraction form
    4,516,442,768/9,783,378,640 = 9,783,378,640/x
  3. Step 3: Cross multiply
    4,516,442,768x = 9,783,378,640 × 9,783,378,640
  4. Step 4: Simplify right side
    4,516,442,768x = 95,714,497,613,608,255,488
  5. Step 5: Solve for x
    x = 95,714,497,613,608,255,488/4,516,442,768
  6. Step 6: Final answer
    x = 21,192,452,230.72

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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.