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Finding the Third Proportional to 13,896,033.50 and 30,184,219.50

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Solution

The third proportional to 13,896,033.50 and 30,184,219.50 is: 65,564,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896,033.50 : 30,184,219.50 = 30,184,219.50 : x
  2. Step 2: Convert to fraction form
    13,896,033.50/30,184,219.50 = 30,184,219.50/x
  3. Step 3: Cross multiply
    13,896,033.50x = 30,184,219.50 × 30,184,219.50
  4. Step 4: Simplify right side
    13,896,033.50x = 911,087,106,824,180.25
  5. Step 5: Solve for x
    x = 911,087,106,824,180.25/13,896,033.50
  6. Step 6: Final answer
    x = 65,564,544.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.