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Finding the Third Proportional to 342,167,631 and 702,474,606

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Solution

The third proportional to 342,167,631 and 702,474,606 is: 1,442,189,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,167,631 : 702,474,606 = 702,474,606 : x
  2. Step 2: Convert to fraction form
    342,167,631/702,474,606 = 702,474,606/x
  3. Step 3: Cross multiply
    342,167,631x = 702,474,606 × 702,474,606
  4. Step 4: Simplify right side
    342,167,631x = 493,470,572,074,855,232
  5. Step 5: Solve for x
    x = 493,470,572,074,855,232/342,167,631
  6. Step 6: Final answer
    x = 1,442,189,521.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.