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Finding the Third Proportional to 6,290,232 and 13,758,162

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Solution

The third proportional to 6,290,232 and 13,758,162 is: 30,092,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290,232 : 13,758,162 = 13,758,162 : x
  2. Step 2: Convert to fraction form
    6,290,232/13,758,162 = 13,758,162/x
  3. Step 3: Cross multiply
    6,290,232x = 13,758,162 × 13,758,162
  4. Step 4: Simplify right side
    6,290,232x = 189,287,021,618,244
  5. Step 5: Solve for x
    x = 189,287,021,618,244/6,290,232
  6. Step 6: Final answer
    x = 30,092,216.25

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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.