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Finding the Third Proportional to 14,157,419 and 21,862,013

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Solution

The third proportional to 14,157,419 and 21,862,013 is: 33,759,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157,419 : 21,862,013 = 21,862,013 : x
  2. Step 2: Convert to fraction form
    14,157,419/21,862,013 = 21,862,013/x
  3. Step 3: Cross multiply
    14,157,419x = 21,862,013 × 21,862,013
  4. Step 4: Simplify right side
    14,157,419x = 477,947,612,412,169
  5. Step 5: Solve for x
    x = 477,947,612,412,169/14,157,419
  6. Step 6: Final answer
    x = 33,759,515.94

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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.