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Finding the Third Proportional to 4,366,091 and 6,869,910

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Solution

The third proportional to 4,366,091 and 6,869,910 is: 10,809,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366,091 : 6,869,910 = 6,869,910 : x
  2. Step 2: Convert to fraction form
    4,366,091/6,869,910 = 6,869,910/x
  3. Step 3: Cross multiply
    4,366,091x = 6,869,910 × 6,869,910
  4. Step 4: Simplify right side
    4,366,091x = 47,195,663,408,100
  5. Step 5: Solve for x
    x = 47,195,663,408,100/4,366,091
  6. Step 6: Final answer
    x = 10,809,592.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.