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Finding the Third Proportional to 307,735,334 and 649,809,484

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Solution

The third proportional to 307,735,334 and 649,809,484 is: 1,372,128,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,735,334 : 649,809,484 = 649,809,484 : x
  2. Step 2: Convert to fraction form
    307,735,334/649,809,484 = 649,809,484/x
  3. Step 3: Cross multiply
    307,735,334x = 649,809,484 × 649,809,484
  4. Step 4: Simplify right side
    307,735,334x = 422,252,365,496,346,240
  5. Step 5: Solve for x
    x = 422,252,365,496,346,240/307,735,334
  6. Step 6: Final answer
    x = 1,372,128,315.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.