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Finding the Third Proportional to 6,737,539.50 and 14,610,091.50

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Solution

The third proportional to 6,737,539.50 and 14,610,091.50 is: 31,681,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737,539.50 : 14,610,091.50 = 14,610,091.50 : x
  2. Step 2: Convert to fraction form
    6,737,539.50/14,610,091.50 = 14,610,091.50/x
  3. Step 3: Cross multiply
    6,737,539.50x = 14,610,091.50 × 14,610,091.50
  4. Step 4: Simplify right side
    6,737,539.50x = 213,454,773,638,372.25
  5. Step 5: Solve for x
    x = 213,454,773,638,372.25/6,737,539.50
  6. Step 6: Final answer
    x = 31,681,413.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.