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Finding the Third Proportional to 46,844,544 and 101,507,567

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Solution

The third proportional to 46,844,544 and 101,507,567 is: 219,957,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,844,544 : 101,507,567 = 101,507,567 : x
  2. Step 2: Convert to fraction form
    46,844,544/101,507,567 = 101,507,567/x
  3. Step 3: Cross multiply
    46,844,544x = 101,507,567 × 101,507,567
  4. Step 4: Simplify right side
    46,844,544x = 10,303,786,158,259,488
  5. Step 5: Solve for x
    x = 10,303,786,158,259,488/46,844,544
  6. Step 6: Final answer
    x = 219,957,016.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.