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Finding the Third Proportional to 2,388,028,393.50 and 5,167,214,859

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Solution

The third proportional to 2,388,028,393.50 and 5,167,214,859 is: 11,180,817,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,028,393.50 : 5,167,214,859 = 5,167,214,859 : x
  2. Step 2: Convert to fraction form
    2,388,028,393.50/5,167,214,859 = 5,167,214,859/x
  3. Step 3: Cross multiply
    2,388,028,393.50x = 5,167,214,859 × 5,167,214,859
  4. Step 4: Simplify right side
    2,388,028,393.50x = 26,700,109,399,070,388,224
  5. Step 5: Solve for x
    x = 26,700,109,399,070,388,224/2,388,028,393.50
  6. Step 6: Final answer
    x = 11,180,817,393.86

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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.