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Finding the Third Proportional to 5,185,467 and 7,849,845

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Solution

The third proportional to 5,185,467 and 7,849,845 is: 11,883,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185,467 : 7,849,845 = 7,849,845 : x
  2. Step 2: Convert to fraction form
    5,185,467/7,849,845 = 7,849,845/x
  3. Step 3: Cross multiply
    5,185,467x = 7,849,845 × 7,849,845
  4. Step 4: Simplify right side
    5,185,467x = 61,620,066,524,025
  5. Step 5: Solve for x
    x = 61,620,066,524,025/5,185,467
  6. Step 6: Final answer
    x = 11,883,224.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.