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Finding the Third Proportional to 9,634,869 and 13,078,867.50

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Solution

The third proportional to 9,634,869 and 13,078,867.50 is: 17,753,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634,869 : 13,078,867.50 = 13,078,867.50 : x
  2. Step 2: Convert to fraction form
    9,634,869/13,078,867.50 = 13,078,867.50/x
  3. Step 3: Cross multiply
    9,634,869x = 13,078,867.50 × 13,078,867.50
  4. Step 4: Simplify right side
    9,634,869x = 171,056,775,082,556.25
  5. Step 5: Solve for x
    x = 171,056,775,082,556.25/9,634,869
  6. Step 6: Final answer
    x = 17,753,928.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.