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Finding the Third Proportional to 2,338,785,837 and 5,200,487,336.25

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Solution

The third proportional to 2,338,785,837 and 5,200,487,336.25 is: 11,563,721,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,785,837 : 5,200,487,336.25 = 5,200,487,336.25 : x
  2. Step 2: Convert to fraction form
    2,338,785,837/5,200,487,336.25 = 5,200,487,336.25/x
  3. Step 3: Cross multiply
    2,338,785,837x = 5,200,487,336.25 × 5,200,487,336.25
  4. Step 4: Simplify right side
    2,338,785,837x = 27,045,068,534,496,620,544
  5. Step 5: Solve for x
    x = 27,045,068,534,496,620,544/2,338,785,837
  6. Step 6: Final answer
    x = 11,563,721,699.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.