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Finding the Third Proportional to 5,346,163.50 and 7,724,284.50

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Solution

The third proportional to 5,346,163.50 and 7,724,284.50 is: 11,160,259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,163.50 : 7,724,284.50 = 7,724,284.50 : x
  2. Step 2: Convert to fraction form
    5,346,163.50/7,724,284.50 = 7,724,284.50/x
  3. Step 3: Cross multiply
    5,346,163.50x = 7,724,284.50 × 7,724,284.50
  4. Step 4: Simplify right side
    5,346,163.50x = 59,664,571,036,940.25
  5. Step 5: Solve for x
    x = 59,664,571,036,940.25/5,346,163.50
  6. Step 6: Final answer
    x = 11,160,259.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.