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Finding the Third Proportional to 2,582,983.69 and 5,638,051.83

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Solution

The third proportional to 2,582,983.69 and 5,638,051.83 is: 12,306,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582,983.69 : 5,638,051.83 = 5,638,051.83 : x
  2. Step 2: Convert to fraction form
    2,582,983.69/5,638,051.83 = 5,638,051.83/x
  3. Step 3: Cross multiply
    2,582,983.69x = 5,638,051.83 × 5,638,051.83
  4. Step 4: Simplify right side
    2,582,983.69x = 31,787,628,416,621.40
  5. Step 5: Solve for x
    x = 31,787,628,416,621.40/2,582,983.69
  6. Step 6: Final answer
    x = 12,306,554.07

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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.