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Finding the Third Proportional to 5,408,955,243 and 11,749,031,406

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Solution

The third proportional to 5,408,955,243 and 11,749,031,406 is: 25,520,591,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408,955,243 : 11,749,031,406 = 11,749,031,406 : x
  2. Step 2: Convert to fraction form
    5,408,955,243/11,749,031,406 = 11,749,031,406/x
  3. Step 3: Cross multiply
    5,408,955,243x = 11,749,031,406 × 11,749,031,406
  4. Step 4: Simplify right side
    5,408,955,243x = 138,039,738,979,174,334,464
  5. Step 5: Solve for x
    x = 138,039,738,979,174,334,464/5,408,955,243
  6. Step 6: Final answer
    x = 25,520,591,829.23

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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.