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Finding the Third Proportional to 9,889,048.50 and 20,536,014

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Solution

The third proportional to 9,889,048.50 and 20,536,014 is: 42,645,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889,048.50 : 20,536,014 = 20,536,014 : x
  2. Step 2: Convert to fraction form
    9,889,048.50/20,536,014 = 20,536,014/x
  3. Step 3: Cross multiply
    9,889,048.50x = 20,536,014 × 20,536,014
  4. Step 4: Simplify right side
    9,889,048.50x = 421,727,871,008,196
  5. Step 5: Solve for x
    x = 421,727,871,008,196/9,889,048.50
  6. Step 6: Final answer
    x = 42,645,950.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.