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Finding the Third Proportional to 6,142,224.50 and 9,634,458

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Solution

The third proportional to 6,142,224.50 and 9,634,458 is: 15,112,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142,224.50 : 9,634,458 = 9,634,458 : x
  2. Step 2: Convert to fraction form
    6,142,224.50/9,634,458 = 9,634,458/x
  3. Step 3: Cross multiply
    6,142,224.50x = 9,634,458 × 9,634,458
  4. Step 4: Simplify right side
    6,142,224.50x = 92,822,780,953,764
  5. Step 5: Solve for x
    x = 92,822,780,953,764/6,142,224.50
  6. Step 6: Final answer
    x = 15,112,241.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.