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Finding the Third Proportional to 14,658,562 and 31,589,128

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Solution

The third proportional to 14,658,562 and 31,589,128 is: 68,074,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658,562 : 31,589,128 = 31,589,128 : x
  2. Step 2: Convert to fraction form
    14,658,562/31,589,128 = 31,589,128/x
  3. Step 3: Cross multiply
    14,658,562x = 31,589,128 × 31,589,128
  4. Step 4: Simplify right side
    14,658,562x = 997,873,007,800,384
  5. Step 5: Solve for x
    x = 997,873,007,800,384/14,658,562
  6. Step 6: Final answer
    x = 68,074,413.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.