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Finding the Third Proportional to 51,728,010.75 and 86,209,899.75

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Solution

The third proportional to 51,728,010.75 and 86,209,899.75 is: 143,677,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,728,010.75 : 86,209,899.75 = 86,209,899.75 : x
  2. Step 2: Convert to fraction form
    51,728,010.75/86,209,899.75 = 86,209,899.75/x
  3. Step 3: Cross multiply
    51,728,010.75x = 86,209,899.75 × 86,209,899.75
  4. Step 4: Simplify right side
    51,728,010.75x = 7,432,146,814,905,050
  5. Step 5: Solve for x
    x = 7,432,146,814,905,050/51,728,010.75
  6. Step 6: Final answer
    x = 143,677,413.98

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.