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Finding the Third Proportional to 6,921,376 and 9,258,368

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Solution

The third proportional to 6,921,376 and 9,258,368 is: 12,384,441.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921,376 : 9,258,368 = 9,258,368 : x
  2. Step 2: Convert to fraction form
    6,921,376/9,258,368 = 9,258,368/x
  3. Step 3: Cross multiply
    6,921,376x = 9,258,368 × 9,258,368
  4. Step 4: Simplify right side
    6,921,376x = 85,717,378,023,424
  5. Step 5: Solve for x
    x = 85,717,378,023,424/6,921,376
  6. Step 6: Final answer
    x = 12,384,441.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.