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Finding the Third Proportional to 4,901,985 and 7,188,169.50

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Solution

The third proportional to 4,901,985 and 7,188,169.50 is: 10,540,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901,985 : 7,188,169.50 = 7,188,169.50 : x
  2. Step 2: Convert to fraction form
    4,901,985/7,188,169.50 = 7,188,169.50/x
  3. Step 3: Cross multiply
    4,901,985x = 7,188,169.50 × 7,188,169.50
  4. Step 4: Simplify right side
    4,901,985x = 51,669,780,760,730.25
  5. Step 5: Solve for x
    x = 51,669,780,760,730.25/4,901,985
  6. Step 6: Final answer
    x = 10,540,583.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.