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Finding the Third Proportional to 6,278,922 and 9,464,391

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Solution

The third proportional to 6,278,922 and 9,464,391 is: 14,265,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278,922 : 9,464,391 = 9,464,391 : x
  2. Step 2: Convert to fraction form
    6,278,922/9,464,391 = 9,464,391/x
  3. Step 3: Cross multiply
    6,278,922x = 9,464,391 × 9,464,391
  4. Step 4: Simplify right side
    6,278,922x = 89,574,697,000,881
  5. Step 5: Solve for x
    x = 89,574,697,000,881/6,278,922
  6. Step 6: Final answer
    x = 14,265,935.62

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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.