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Finding the Third Proportional to 189,064,422 and 410,396,004

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Solution

The third proportional to 189,064,422 and 410,396,004 is: 890,833,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064,422 : 410,396,004 = 410,396,004 : x
  2. Step 2: Convert to fraction form
    189,064,422/410,396,004 = 410,396,004/x
  3. Step 3: Cross multiply
    189,064,422x = 410,396,004 × 410,396,004
  4. Step 4: Simplify right side
    189,064,422x = 168,424,880,099,168,000
  5. Step 5: Solve for x
    x = 168,424,880,099,168,000/189,064,422
  6. Step 6: Final answer
    x = 890,833,284.85

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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.