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Finding the Third Proportional to 5,910,395 and 12,829,649.50

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Solution

The third proportional to 5,910,395 and 12,829,649.50 is: 27,849,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910,395 : 12,829,649.50 = 12,829,649.50 : x
  2. Step 2: Convert to fraction form
    5,910,395/12,829,649.50 = 12,829,649.50/x
  3. Step 3: Cross multiply
    5,910,395x = 12,829,649.50 × 12,829,649.50
  4. Step 4: Simplify right side
    5,910,395x = 164,599,906,292,850.25
  5. Step 5: Solve for x
    x = 164,599,906,292,850.25/5,910,395
  6. Step 6: Final answer
    x = 27,849,222.65

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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.