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Finding the Third Proportional to 2,746,647 and 5,966,150.63

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Solution

The third proportional to 2,746,647 and 5,966,150.63 is: 12,959,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746,647 : 5,966,150.63 = 5,966,150.63 : x
  2. Step 2: Convert to fraction form
    2,746,647/5,966,150.63 = 5,966,150.63/x
  3. Step 3: Cross multiply
    2,746,647x = 5,966,150.63 × 5,966,150.63
  4. Step 4: Simplify right side
    2,746,647x = 35,594,953,280,187.89
  5. Step 5: Solve for x
    x = 35,594,953,280,187.89/2,746,647
  6. Step 6: Final answer
    x = 12,959,420.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.