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Finding the Third Proportional to 6,889,122 and 11,343,666

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Solution

The third proportional to 6,889,122 and 11,343,666 is: 18,678,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889,122 : 11,343,666 = 11,343,666 : x
  2. Step 2: Convert to fraction form
    6,889,122/11,343,666 = 11,343,666/x
  3. Step 3: Cross multiply
    6,889,122x = 11,343,666 × 11,343,666
  4. Step 4: Simplify right side
    6,889,122x = 128,678,758,319,556
  5. Step 5: Solve for x
    x = 128,678,758,319,556/6,889,122
  6. Step 6: Final answer
    x = 18,678,542.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.