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Finding the Third Proportional to 232,302,852 and 505,572,570

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Solution

The third proportional to 232,302,852 and 505,572,570 is: 1,100,303,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,302,852 : 505,572,570 = 505,572,570 : x
  2. Step 2: Convert to fraction form
    232,302,852/505,572,570 = 505,572,570/x
  3. Step 3: Cross multiply
    232,302,852x = 505,572,570 × 505,572,570
  4. Step 4: Simplify right side
    232,302,852x = 255,603,623,536,404,896
  5. Step 5: Solve for x
    x = 255,603,623,536,404,896/232,302,852
  6. Step 6: Final answer
    x = 1,100,303,424.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.