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Finding the Third Proportional to 4,790,661.50 and 7,184,232.50

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Solution

The third proportional to 4,790,661.50 and 7,184,232.50 is: 10,773,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,790,661.50 : 7,184,232.50 = 7,184,232.50 : x
  2. Step 2: Convert to fraction form
    4,790,661.50/7,184,232.50 = 7,184,232.50/x
  3. Step 3: Cross multiply
    4,790,661.50x = 7,184,232.50 × 7,184,232.50
  4. Step 4: Simplify right side
    4,790,661.50x = 51,613,196,614,056.25
  5. Step 5: Solve for x
    x = 51,613,196,614,056.25/4,790,661.50
  6. Step 6: Final answer
    x = 10,773,709.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.