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Finding the Third Proportional to 6,111,209 and 13,214,724

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Solution

The third proportional to 6,111,209 and 13,214,724 is: 28,575,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,209 : 13,214,724 = 13,214,724 : x
  2. Step 2: Convert to fraction form
    6,111,209/13,214,724 = 13,214,724/x
  3. Step 3: Cross multiply
    6,111,209x = 13,214,724 × 13,214,724
  4. Step 4: Simplify right side
    6,111,209x = 174,628,930,396,176
  5. Step 5: Solve for x
    x = 174,628,930,396,176/6,111,209
  6. Step 6: Final answer
    x = 28,575,185.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.