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Finding the Third Proportional to 4,783,216.50 and 10,205,014.50

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Solution

The third proportional to 4,783,216.50 and 10,205,014.50 is: 21,772,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783,216.50 : 10,205,014.50 = 10,205,014.50 : x
  2. Step 2: Convert to fraction form
    4,783,216.50/10,205,014.50 = 10,205,014.50/x
  3. Step 3: Cross multiply
    4,783,216.50x = 10,205,014.50 × 10,205,014.50
  4. Step 4: Simplify right side
    4,783,216.50x = 104,142,320,945,210.25
  5. Step 5: Solve for x
    x = 104,142,320,945,210.25/4,783,216.50
  6. Step 6: Final answer
    x = 21,772,445.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.