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Finding the Third Proportional to 12,284,447 and 19,268,913

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Solution

The third proportional to 12,284,447 and 19,268,913 is: 30,224,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284,447 : 19,268,913 = 19,268,913 : x
  2. Step 2: Convert to fraction form
    12,284,447/19,268,913 = 19,268,913/x
  3. Step 3: Cross multiply
    12,284,447x = 19,268,913 × 19,268,913
  4. Step 4: Simplify right side
    12,284,447x = 371,291,008,201,569
  5. Step 5: Solve for x
    x = 371,291,008,201,569/12,284,447
  6. Step 6: Final answer
    x = 30,224,478.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.