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Finding the Third Proportional to 9,828,026 and 14,879,523

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Solution

The third proportional to 9,828,026 and 14,879,523 is: 22,527,433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828,026 : 14,879,523 = 14,879,523 : x
  2. Step 2: Convert to fraction form
    9,828,026/14,879,523 = 14,879,523/x
  3. Step 3: Cross multiply
    9,828,026x = 14,879,523 × 14,879,523
  4. Step 4: Simplify right side
    9,828,026x = 221,400,204,707,529
  5. Step 5: Solve for x
    x = 221,400,204,707,529/9,828,026
  6. Step 6: Final answer
    x = 22,527,433.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.