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Finding the Third Proportional to 189,064,432 and 410,396,024

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Solution

The third proportional to 189,064,432 and 410,396,024 is: 890,833,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064,432 : 410,396,024 = 410,396,024 : x
  2. Step 2: Convert to fraction form
    189,064,432/410,396,024 = 410,396,024/x
  3. Step 3: Cross multiply
    189,064,432x = 410,396,024 × 410,396,024
  4. Step 4: Simplify right side
    189,064,432x = 168,424,896,515,008,576
  5. Step 5: Solve for x
    x = 168,424,896,515,008,576/189,064,432
  6. Step 6: Final answer
    x = 890,833,324.56

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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.