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Finding the Third Proportional to 6,517,617 and 9,860,310

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Solution

The third proportional to 6,517,617 and 9,860,310 is: 14,917,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517,617 : 9,860,310 = 9,860,310 : x
  2. Step 2: Convert to fraction form
    6,517,617/9,860,310 = 9,860,310/x
  3. Step 3: Cross multiply
    6,517,617x = 9,860,310 × 9,860,310
  4. Step 4: Simplify right side
    6,517,617x = 97,225,713,296,100
  5. Step 5: Solve for x
    x = 97,225,713,296,100/6,517,617
  6. Step 6: Final answer
    x = 14,917,371.38

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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.