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Finding the Third Proportional to 30,603,724.50 and 64,661,449.50

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Solution

The third proportional to 30,603,724.50 and 64,661,449.50 is: 136,620,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603,724.50 : 64,661,449.50 = 64,661,449.50 : x
  2. Step 2: Convert to fraction form
    30,603,724.50/64,661,449.50 = 64,661,449.50/x
  3. Step 3: Cross multiply
    30,603,724.50x = 64,661,449.50 × 64,661,449.50
  4. Step 4: Simplify right side
    30,603,724.50x = 4,181,103,051,441,050
  5. Step 5: Solve for x
    x = 4,181,103,051,441,050/30,603,724.50
  6. Step 6: Final answer
    x = 136,620,725.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.