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Finding the Third Proportional to 6,237,980 and 13,650,021

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Solution

The third proportional to 6,237,980 and 13,650,021 is: 29,869,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237,980 : 13,650,021 = 13,650,021 : x
  2. Step 2: Convert to fraction form
    6,237,980/13,650,021 = 13,650,021/x
  3. Step 3: Cross multiply
    6,237,980x = 13,650,021 × 13,650,021
  4. Step 4: Simplify right side
    6,237,980x = 186,323,073,300,441
  5. Step 5: Solve for x
    x = 186,323,073,300,441/6,237,980
  6. Step 6: Final answer
    x = 29,869,136.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.