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Finding the Third Proportional to 9,157,700 and 18,084,916

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Solution

The third proportional to 9,157,700 and 18,084,916 is: 35,714,664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157,700 : 18,084,916 = 18,084,916 : x
  2. Step 2: Convert to fraction form
    9,157,700/18,084,916 = 18,084,916/x
  3. Step 3: Cross multiply
    9,157,700x = 18,084,916 × 18,084,916
  4. Step 4: Simplify right side
    9,157,700x = 327,064,186,727,056
  5. Step 5: Solve for x
    x = 327,064,186,727,056/9,157,700
  6. Step 6: Final answer
    x = 35,714,664.90

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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.