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Finding the Third Proportional to 349,846,755 and 809,916,678

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Solution

The third proportional to 349,846,755 and 809,916,678 is: 1,875,006,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,846,755 : 809,916,678 = 809,916,678 : x
  2. Step 2: Convert to fraction form
    349,846,755/809,916,678 = 809,916,678/x
  3. Step 3: Cross multiply
    349,846,755x = 809,916,678 × 809,916,678
  4. Step 4: Simplify right side
    349,846,755x = 655,965,025,302,555,648
  5. Step 5: Solve for x
    x = 655,965,025,302,555,648/349,846,755
  6. Step 6: Final answer
    x = 1,875,006,744.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.