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Finding the Third Proportional to 6,905,424 and 10,454,094

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Solution

The third proportional to 6,905,424 and 10,454,094 is: 15,826,411.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905,424 : 10,454,094 = 10,454,094 : x
  2. Step 2: Convert to fraction form
    6,905,424/10,454,094 = 10,454,094/x
  3. Step 3: Cross multiply
    6,905,424x = 10,454,094 × 10,454,094
  4. Step 4: Simplify right side
    6,905,424x = 109,288,081,360,836
  5. Step 5: Solve for x
    x = 109,288,081,360,836/6,905,424
  6. Step 6: Final answer
    x = 15,826,411.44

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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.