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Finding the Third Proportional to 6,038,500 and 9,136,268

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Solution

The third proportional to 6,038,500 and 9,136,268 is: 13,823,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038,500 : 9,136,268 = 9,136,268 : x
  2. Step 2: Convert to fraction form
    6,038,500/9,136,268 = 9,136,268/x
  3. Step 3: Cross multiply
    6,038,500x = 9,136,268 × 9,136,268
  4. Step 4: Simplify right side
    6,038,500x = 83,471,392,967,824
  5. Step 5: Solve for x
    x = 83,471,392,967,824/6,038,500
  6. Step 6: Final answer
    x = 13,823,199.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.