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Finding the Third Proportional to 4,311,648 and 7,185,646

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Solution

The third proportional to 4,311,648 and 7,185,646 is: 11,975,353.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311,648 : 7,185,646 = 7,185,646 : x
  2. Step 2: Convert to fraction form
    4,311,648/7,185,646 = 7,185,646/x
  3. Step 3: Cross multiply
    4,311,648x = 7,185,646 × 7,185,646
  4. Step 4: Simplify right side
    4,311,648x = 51,633,508,437,316
  5. Step 5: Solve for x
    x = 51,633,508,437,316/4,311,648
  6. Step 6: Final answer
    x = 11,975,353.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.