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Finding the Third Proportional to 189,064,428 and 410,396,016

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Solution

The third proportional to 189,064,428 and 410,396,016 is: 890,833,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064,428 : 410,396,016 = 410,396,016 : x
  2. Step 2: Convert to fraction form
    189,064,428/410,396,016 = 410,396,016/x
  3. Step 3: Cross multiply
    189,064,428x = 410,396,016 × 410,396,016
  4. Step 4: Simplify right side
    189,064,428x = 168,424,889,948,672,256
  5. Step 5: Solve for x
    x = 168,424,889,948,672,256/189,064,428
  6. Step 6: Final answer
    x = 890,833,308.68

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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.