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Finding the Third Proportional to 307,735,336 and 649,809,488

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Solution

The third proportional to 307,735,336 and 649,809,488 is: 1,372,128,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,735,336 : 649,809,488 = 649,809,488 : x
  2. Step 2: Convert to fraction form
    307,735,336/649,809,488 = 649,809,488/x
  3. Step 3: Cross multiply
    307,735,336x = 649,809,488 × 649,809,488
  4. Step 4: Simplify right side
    307,735,336x = 422,252,370,694,822,144
  5. Step 5: Solve for x
    x = 422,252,370,694,822,144/307,735,336
  6. Step 6: Final answer
    x = 1,372,128,323.59

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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.