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Finding the Third Proportional to 13,985,997 and 21,600,103.50

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Solution

The third proportional to 13,985,997 and 21,600,103.50 is: 33,359,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985,997 : 21,600,103.50 = 21,600,103.50 : x
  2. Step 2: Convert to fraction form
    13,985,997/21,600,103.50 = 21,600,103.50/x
  3. Step 3: Cross multiply
    13,985,997x = 21,600,103.50 × 21,600,103.50
  4. Step 4: Simplify right side
    13,985,997x = 466,564,471,210,712.25
  5. Step 5: Solve for x
    x = 466,564,471,210,712.25/13,985,997
  6. Step 6: Final answer
    x = 33,359,400.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.