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Finding the Third Proportional to 6,115,235 and 13,306,564

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Solution

The third proportional to 6,115,235 and 13,306,564 is: 28,954,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115,235 : 13,306,564 = 13,306,564 : x
  2. Step 2: Convert to fraction form
    6,115,235/13,306,564 = 13,306,564/x
  3. Step 3: Cross multiply
    6,115,235x = 13,306,564 × 13,306,564
  4. Step 4: Simplify right side
    6,115,235x = 177,064,645,486,096
  5. Step 5: Solve for x
    x = 177,064,645,486,096/6,115,235
  6. Step 6: Final answer
    x = 28,954,675.57

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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.