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Finding the Third Proportional to 5,895,186 and 9,374,221

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Solution

The third proportional to 5,895,186 and 9,374,221 is: 14,906,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895,186 : 9,374,221 = 9,374,221 : x
  2. Step 2: Convert to fraction form
    5,895,186/9,374,221 = 9,374,221/x
  3. Step 3: Cross multiply
    5,895,186x = 9,374,221 × 9,374,221
  4. Step 4: Simplify right side
    5,895,186x = 87,876,019,356,841
  5. Step 5: Solve for x
    x = 87,876,019,356,841/5,895,186
  6. Step 6: Final answer
    x = 14,906,403.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.