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Finding the Third Proportional to 307,735,352 and 649,809,520

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Solution

The third proportional to 307,735,352 and 649,809,520 is: 1,372,128,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,735,352 : 649,809,520 = 649,809,520 : x
  2. Step 2: Convert to fraction form
    307,735,352/649,809,520 = 649,809,520/x
  3. Step 3: Cross multiply
    307,735,352x = 649,809,520 × 649,809,520
  4. Step 4: Simplify right side
    307,735,352x = 422,252,412,282,630,400
  5. Step 5: Solve for x
    x = 422,252,412,282,630,400/307,735,352
  6. Step 6: Final answer
    x = 1,372,128,387.39

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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.