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Finding the Third Proportional to 13,670,667.50 and 32,270,898.50

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Solution

The third proportional to 13,670,667.50 and 32,270,898.50 is: 76,178,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670,667.50 : 32,270,898.50 = 32,270,898.50 : x
  2. Step 2: Convert to fraction form
    13,670,667.50/32,270,898.50 = 32,270,898.50/x
  3. Step 3: Cross multiply
    13,670,667.50x = 32,270,898.50 × 32,270,898.50
  4. Step 4: Simplify right side
    13,670,667.50x = 1,041,410,889,997,302.25
  5. Step 5: Solve for x
    x = 1,041,410,889,997,302.25/13,670,667.50
  6. Step 6: Final answer
    x = 76,178,496.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.