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Finding the Third Proportional to 6,146,912 and 9,021,081

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Solution

The third proportional to 6,146,912 and 9,021,081 is: 13,239,152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,912 : 9,021,081 = 9,021,081 : x
  2. Step 2: Convert to fraction form
    6,146,912/9,021,081 = 9,021,081/x
  3. Step 3: Cross multiply
    6,146,912x = 9,021,081 × 9,021,081
  4. Step 4: Simplify right side
    6,146,912x = 81,379,902,408,561
  5. Step 5: Solve for x
    x = 81,379,902,408,561/6,146,912
  6. Step 6: Final answer
    x = 13,239,152.02

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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.