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Finding the Third Proportional to 6,729,258 and 10,091,416

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Solution

The third proportional to 6,729,258 and 10,091,416 is: 15,133,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,258 : 10,091,416 = 10,091,416 : x
  2. Step 2: Convert to fraction form
    6,729,258/10,091,416 = 10,091,416/x
  3. Step 3: Cross multiply
    6,729,258x = 10,091,416 × 10,091,416
  4. Step 4: Simplify right side
    6,729,258x = 101,836,676,885,056
  5. Step 5: Solve for x
    x = 101,836,676,885,056/6,729,258
  6. Step 6: Final answer
    x = 15,133,418.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.