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Finding the Third Proportional to 13,464,565 and 21,324,083

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Solution

The third proportional to 13,464,565 and 21,324,083 is: 33,771,348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464,565 : 21,324,083 = 21,324,083 : x
  2. Step 2: Convert to fraction form
    13,464,565/21,324,083 = 21,324,083/x
  3. Step 3: Cross multiply
    13,464,565x = 21,324,083 × 21,324,083
  4. Step 4: Simplify right side
    13,464,565x = 454,716,515,790,889
  5. Step 5: Solve for x
    x = 454,716,515,790,889/13,464,565
  6. Step 6: Final answer
    x = 33,771,348.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.