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Finding the Third Proportional to 9,157,698 and 18,084,912

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Solution

The third proportional to 9,157,698 and 18,084,912 is: 35,714,656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157,698 : 18,084,912 = 18,084,912 : x
  2. Step 2: Convert to fraction form
    9,157,698/18,084,912 = 18,084,912/x
  3. Step 3: Cross multiply
    9,157,698x = 18,084,912 × 18,084,912
  4. Step 4: Simplify right side
    9,157,698x = 327,064,042,047,744
  5. Step 5: Solve for x
    x = 327,064,042,047,744/9,157,698
  6. Step 6: Final answer
    x = 35,714,656.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.