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Finding the Third Proportional to 3,099,000 and 6,746,736

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Solution

The third proportional to 3,099,000 and 6,746,736 is: 14,688,107.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099,000 : 6,746,736 = 6,746,736 : x
  2. Step 2: Convert to fraction form
    3,099,000/6,746,736 = 6,746,736/x
  3. Step 3: Cross multiply
    3,099,000x = 6,746,736 × 6,746,736
  4. Step 4: Simplify right side
    3,099,000x = 45,518,446,653,696
  5. Step 5: Solve for x
    x = 45,518,446,653,696/3,099,000
  6. Step 6: Final answer
    x = 14,688,107.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.