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Finding the Third Proportional to 6,115,243 and 13,306,580

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Solution

The third proportional to 6,115,243 and 13,306,580 is: 28,954,707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115,243 : 13,306,580 = 13,306,580 : x
  2. Step 2: Convert to fraction form
    6,115,243/13,306,580 = 13,306,580/x
  3. Step 3: Cross multiply
    6,115,243x = 13,306,580 × 13,306,580
  4. Step 4: Simplify right side
    6,115,243x = 177,065,071,296,400
  5. Step 5: Solve for x
    x = 177,065,071,296,400/6,115,243
  6. Step 6: Final answer
    x = 28,954,707.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.