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Finding the Third Proportional to 5,895,184 and 9,374,218

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Solution

The third proportional to 5,895,184 and 9,374,218 is: 14,906,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895,184 : 9,374,218 = 9,374,218 : x
  2. Step 2: Convert to fraction form
    5,895,184/9,374,218 = 9,374,218/x
  3. Step 3: Cross multiply
    5,895,184x = 9,374,218 × 9,374,218
  4. Step 4: Simplify right side
    5,895,184x = 87,875,963,111,524
  5. Step 5: Solve for x
    x = 87,875,963,111,524/5,895,184
  6. Step 6: Final answer
    x = 14,906,398.70

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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.