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Finding the Third Proportional to 2,008,140,048 and 4,338,953,358

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Solution

The third proportional to 2,008,140,048 and 4,338,953,358 is: 9,375,101,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,140,048 : 4,338,953,358 = 4,338,953,358 : x
  2. Step 2: Convert to fraction form
    2,008,140,048/4,338,953,358 = 4,338,953,358/x
  3. Step 3: Cross multiply
    2,008,140,048x = 4,338,953,358 × 4,338,953,358
  4. Step 4: Simplify right side
    2,008,140,048x = 18,826,516,242,899,476,480
  5. Step 5: Solve for x
    x = 18,826,516,242,899,476,480/2,008,140,048
  6. Step 6: Final answer
    x = 9,375,101,234.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.