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Finding the Third Proportional to 425,394,678 and 923,390,466

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Solution

The third proportional to 425,394,678 and 923,390,466 is: 2,004,373,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,394,678 : 923,390,466 = 923,390,466 : x
  2. Step 2: Convert to fraction form
    425,394,678/923,390,466 = 923,390,466/x
  3. Step 3: Cross multiply
    425,394,678x = 923,390,466 × 923,390,466
  4. Step 4: Simplify right side
    425,394,678x = 852,649,952,699,697,152
  5. Step 5: Solve for x
    x = 852,649,952,699,697,152/425,394,678
  6. Step 6: Final answer
    x = 2,004,373,812.83

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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.