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Finding the Third Proportional to 2,477,641.50 and 5,485,907.25

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Solution

The third proportional to 2,477,641.50 and 5,485,907.25 is: 12,146,704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,641.50 : 5,485,907.25 = 5,485,907.25 : x
  2. Step 2: Convert to fraction form
    2,477,641.50/5,485,907.25 = 5,485,907.25/x
  3. Step 3: Cross multiply
    2,477,641.50x = 5,485,907.25 × 5,485,907.25
  4. Step 4: Simplify right side
    2,477,641.50x = 30,095,178,355,602.56
  5. Step 5: Solve for x
    x = 30,095,178,355,602.56/2,477,641.50
  6. Step 6: Final answer
    x = 12,146,704.18

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.