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Finding the Third Proportional to 9,578,124 and 14,353,173

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Solution

The third proportional to 9,578,124 and 14,353,173 is: 21,508,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578,124 : 14,353,173 = 14,353,173 : x
  2. Step 2: Convert to fraction form
    9,578,124/14,353,173 = 14,353,173/x
  3. Step 3: Cross multiply
    9,578,124x = 14,353,173 × 14,353,173
  4. Step 4: Simplify right side
    9,578,124x = 206,013,575,167,929
  5. Step 5: Solve for x
    x = 206,013,575,167,929/9,578,124
  6. Step 6: Final answer
    x = 21,508,760.50

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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.