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Finding the Third Proportional to 5,983,983 and 12,982,494

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Solution

The third proportional to 5,983,983 and 12,982,494 is: 28,166,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983,983 : 12,982,494 = 12,982,494 : x
  2. Step 2: Convert to fraction form
    5,983,983/12,982,494 = 12,982,494/x
  3. Step 3: Cross multiply
    5,983,983x = 12,982,494 × 12,982,494
  4. Step 4: Simplify right side
    5,983,983x = 168,545,150,460,036
  5. Step 5: Solve for x
    x = 168,545,150,460,036/5,983,983
  6. Step 6: Final answer
    x = 28,166,047.67

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Why These Related Problems?

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