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Finding the Third Proportional to 6,517,635 and 9,860,322

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Solution

The third proportional to 6,517,635 and 9,860,322 is: 14,917,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,635 : 9,860,322 = 9,860,322 : x
  2. Step 2: Convert to fraction form
    6,517,635/9,860,322 = 9,860,322/x
  3. Step 3: Cross multiply
    6,517,635x = 9,860,322 × 9,860,322
  4. Step 4: Simplify right side
    6,517,635x = 97,225,949,943,684
  5. Step 5: Solve for x
    x = 97,225,949,943,684/6,517,635
  6. Step 6: Final answer
    x = 14,917,366.49

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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.