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Finding the Third Proportional to 4,675,786 and 6,994,911

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Solution

The third proportional to 4,675,786 and 6,994,911 is: 10,464,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675,786 : 6,994,911 = 6,994,911 : x
  2. Step 2: Convert to fraction form
    4,675,786/6,994,911 = 6,994,911/x
  3. Step 3: Cross multiply
    4,675,786x = 6,994,911 × 6,994,911
  4. Step 4: Simplify right side
    4,675,786x = 48,928,779,897,921
  5. Step 5: Solve for x
    x = 48,928,779,897,921/4,675,786
  6. Step 6: Final answer
    x = 10,464,289.83

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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.