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Finding the Third Proportional to 5,185,629 and 7,849,993.50

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Solution

The third proportional to 5,185,629 and 7,849,993.50 is: 11,883,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185,629 : 7,849,993.50 = 7,849,993.50 : x
  2. Step 2: Convert to fraction form
    5,185,629/7,849,993.50 = 7,849,993.50/x
  3. Step 3: Cross multiply
    5,185,629x = 7,849,993.50 × 7,849,993.50
  4. Step 4: Simplify right side
    5,185,629x = 61,622,397,950,042.25
  5. Step 5: Solve for x
    x = 61,622,397,950,042.25/5,185,629
  6. Step 6: Final answer
    x = 11,883,302.48

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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.