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Finding the Third Proportional to 46,284,600 and 99,534,768

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Solution

The third proportional to 46,284,600 and 99,534,768 is: 214,048,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284,600 : 99,534,768 = 99,534,768 : x
  2. Step 2: Convert to fraction form
    46,284,600/99,534,768 = 99,534,768/x
  3. Step 3: Cross multiply
    46,284,600x = 99,534,768 × 99,534,768
  4. Step 4: Simplify right side
    46,284,600x = 9,907,170,040,813,824
  5. Step 5: Solve for x
    x = 9,907,170,040,813,824/46,284,600
  6. Step 6: Final answer
    x = 214,048,950.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.