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Finding the Third Proportional to 189,064,436 and 410,396,032

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Solution

The third proportional to 189,064,436 and 410,396,032 is: 890,833,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064,436 : 410,396,032 = 410,396,032 : x
  2. Step 2: Convert to fraction form
    189,064,436/410,396,032 = 410,396,032/x
  3. Step 3: Cross multiply
    189,064,436x = 410,396,032 × 410,396,032
  4. Step 4: Simplify right side
    189,064,436x = 168,424,903,081,345,024
  5. Step 5: Solve for x
    x = 168,424,903,081,345,024/189,064,436
  6. Step 6: Final answer
    x = 890,833,340.45

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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.