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Finding the Third Proportional to 5,464,390 and 11,769,763

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Solution

The third proportional to 5,464,390 and 11,769,763 is: 25,350,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464,390 : 11,769,763 = 11,769,763 : x
  2. Step 2: Convert to fraction form
    5,464,390/11,769,763 = 11,769,763/x
  3. Step 3: Cross multiply
    5,464,390x = 11,769,763 × 11,769,763
  4. Step 4: Simplify right side
    5,464,390x = 138,527,321,076,169
  5. Step 5: Solve for x
    x = 138,527,321,076,169/5,464,390
  6. Step 6: Final answer
    x = 25,350,921.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.