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Finding the Third Proportional to 46,103,686 and 75,275,200

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Solution

The third proportional to 46,103,686 and 75,275,200 is: 122,904,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,103,686 : 75,275,200 = 75,275,200 : x
  2. Step 2: Convert to fraction form
    46,103,686/75,275,200 = 75,275,200/x
  3. Step 3: Cross multiply
    46,103,686x = 75,275,200 × 75,275,200
  4. Step 4: Simplify right side
    46,103,686x = 5,666,355,735,040,000
  5. Step 5: Solve for x
    x = 5,666,355,735,040,000/46,103,686
  6. Step 6: Final answer
    x = 122,904,614.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.