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Finding the Third Proportional to 5,408,953,483 and 11,749,027,858.50

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Solution

The third proportional to 5,408,953,483 and 11,749,027,858.50 is: 25,520,584,721.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408,953,483 : 11,749,027,858.50 = 11,749,027,858.50 : x
  2. Step 2: Convert to fraction form
    5,408,953,483/11,749,027,858.50 = 11,749,027,858.50/x
  3. Step 3: Cross multiply
    5,408,953,483x = 11,749,027,858.50 × 11,749,027,858.50
  4. Step 4: Simplify right side
    5,408,953,483x = 138,039,655,619,809,099,776
  5. Step 5: Solve for x
    x = 138,039,655,619,809,099,776/5,408,953,483
  6. Step 6: Final answer
    x = 25,520,584,721.92

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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.