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Finding the Third Proportional to 7,389,576 and 11,767,410

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Solution

The third proportional to 7,389,576 and 11,767,410 is: 18,738,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389,576 : 11,767,410 = 11,767,410 : x
  2. Step 2: Convert to fraction form
    7,389,576/11,767,410 = 11,767,410/x
  3. Step 3: Cross multiply
    7,389,576x = 11,767,410 × 11,767,410
  4. Step 4: Simplify right side
    7,389,576x = 138,471,938,108,100
  5. Step 5: Solve for x
    x = 138,471,938,108,100/7,389,576
  6. Step 6: Final answer
    x = 18,738,820.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.