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Finding the Third Proportional to 5,812,322 and 7,978,737

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Solution

The third proportional to 5,812,322 and 7,978,737 is: 10,952,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812,322 : 7,978,737 = 7,978,737 : x
  2. Step 2: Convert to fraction form
    5,812,322/7,978,737 = 7,978,737/x
  3. Step 3: Cross multiply
    5,812,322x = 7,978,737 × 7,978,737
  4. Step 4: Simplify right side
    5,812,322x = 63,660,244,115,169
  5. Step 5: Solve for x
    x = 63,660,244,115,169/5,812,322
  6. Step 6: Final answer
    x = 10,952,635.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.