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Finding the Third Proportional to 4,632,538.50 and 6,985,257.75

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Solution

The third proportional to 4,632,538.50 and 6,985,257.75 is: 10,532,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632,538.50 : 6,985,257.75 = 6,985,257.75 : x
  2. Step 2: Convert to fraction form
    4,632,538.50/6,985,257.75 = 6,985,257.75/x
  3. Step 3: Cross multiply
    4,632,538.50x = 6,985,257.75 × 6,985,257.75
  4. Step 4: Simplify right side
    4,632,538.50x = 48,793,825,833,935.06
  5. Step 5: Solve for x
    x = 48,793,825,833,935.06/4,632,538.50
  6. Step 6: Final answer
    x = 10,532,848.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.