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Finding the Third Proportional to 5,509,980 and 12,866,737.50

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Solution

The third proportional to 5,509,980 and 12,866,737.50 is: 30,046,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,980 : 12,866,737.50 = 12,866,737.50 : x
  2. Step 2: Convert to fraction form
    5,509,980/12,866,737.50 = 12,866,737.50/x
  3. Step 3: Cross multiply
    5,509,980x = 12,866,737.50 × 12,866,737.50
  4. Step 4: Simplify right side
    5,509,980x = 165,552,933,893,906.25
  5. Step 5: Solve for x
    x = 165,552,933,893,906.25/5,509,980
  6. Step 6: Final answer
    x = 30,046,013.58

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.