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Finding the Third Proportional to 6,707,846 and 9,482,430

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Solution

The third proportional to 6,707,846 and 9,482,430 is: 13,404,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707,846 : 9,482,430 = 9,482,430 : x
  2. Step 2: Convert to fraction form
    6,707,846/9,482,430 = 9,482,430/x
  3. Step 3: Cross multiply
    6,707,846x = 9,482,430 × 9,482,430
  4. Step 4: Simplify right side
    6,707,846x = 89,916,478,704,900
  5. Step 5: Solve for x
    x = 89,916,478,704,900/6,707,846
  6. Step 6: Final answer
    x = 13,404,672.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.