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Finding the Third Proportional to 6,230,894 and 9,101,253

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Solution

The third proportional to 6,230,894 and 9,101,253 is: 13,293,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230,894 : 9,101,253 = 9,101,253 : x
  2. Step 2: Convert to fraction form
    6,230,894/9,101,253 = 9,101,253/x
  3. Step 3: Cross multiply
    6,230,894x = 9,101,253 × 9,101,253
  4. Step 4: Simplify right side
    6,230,894x = 82,832,806,170,009
  5. Step 5: Solve for x
    x = 82,832,806,170,009/6,230,894
  6. Step 6: Final answer
    x = 13,293,887.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.