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Finding the Third Proportional to 425,394,942 and 923,390,994

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Solution

The third proportional to 425,394,942 and 923,390,994 is: 2,004,374,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,394,942 : 923,390,994 = 923,390,994 : x
  2. Step 2: Convert to fraction form
    425,394,942/923,390,994 = 923,390,994/x
  3. Step 3: Cross multiply
    425,394,942x = 923,390,994 × 923,390,994
  4. Step 4: Simplify right side
    425,394,942x = 852,650,927,800,308,096
  5. Step 5: Solve for x
    x = 852,650,927,800,308,096/425,394,942
  6. Step 6: Final answer
    x = 2,004,374,861.14

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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.