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Finding the Third Proportional to 30,475,203 and 65,083,470

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Solution

The third proportional to 30,475,203 and 65,083,470 is: 138,993,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475,203 : 65,083,470 = 65,083,470 : x
  2. Step 2: Convert to fraction form
    30,475,203/65,083,470 = 65,083,470/x
  3. Step 3: Cross multiply
    30,475,203x = 65,083,470 × 65,083,470
  4. Step 4: Simplify right side
    30,475,203x = 4,235,858,067,240,900
  5. Step 5: Solve for x
    x = 4,235,858,067,240,900/30,475,203
  6. Step 6: Final answer
    x = 138,993,596.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.