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Finding the Third Proportional to 14,157,421 and 21,862,016

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Solution

The third proportional to 14,157,421 and 21,862,016 is: 33,759,520.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157,421 : 21,862,016 = 21,862,016 : x
  2. Step 2: Convert to fraction form
    14,157,421/21,862,016 = 21,862,016/x
  3. Step 3: Cross multiply
    14,157,421x = 21,862,016 × 21,862,016
  4. Step 4: Simplify right side
    14,157,421x = 477,947,743,584,256
  5. Step 5: Solve for x
    x = 477,947,743,584,256/14,157,421
  6. Step 6: Final answer
    x = 33,759,520.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.