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Finding the Third Proportional to 13,831,773 and 29,792,283.75

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Solution

The third proportional to 13,831,773 and 29,792,283.75 is: 64,169,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831,773 : 29,792,283.75 = 29,792,283.75 : x
  2. Step 2: Convert to fraction form
    13,831,773/29,792,283.75 = 29,792,283.75/x
  3. Step 3: Cross multiply
    13,831,773x = 29,792,283.75 × 29,792,283.75
  4. Step 4: Simplify right side
    13,831,773x = 887,580,171,040,514
  5. Step 5: Solve for x
    x = 887,580,171,040,514/13,831,773
  6. Step 6: Final answer
    x = 64,169,660.03

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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.