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Finding the Third Proportional to 2,242,132,742 and 5,238,633,975

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Solution

The third proportional to 2,242,132,742 and 5,238,633,975 is: 12,239,813,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242,132,742 : 5,238,633,975 = 5,238,633,975 : x
  2. Step 2: Convert to fraction form
    2,242,132,742/5,238,633,975 = 5,238,633,975/x
  3. Step 3: Cross multiply
    2,242,132,742x = 5,238,633,975 × 5,238,633,975
  4. Step 4: Simplify right side
    2,242,132,742x = 27,443,285,924,024,299,520
  5. Step 5: Solve for x
    x = 27,443,285,924,024,299,520/2,242,132,742
  6. Step 6: Final answer
    x = 12,239,813,196.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.