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Finding the Third Proportional to 9,897,768 and 20,700,512

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Solution

The third proportional to 9,897,768 and 20,700,512 is: 43,293,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897,768 : 20,700,512 = 20,700,512 : x
  2. Step 2: Convert to fraction form
    9,897,768/20,700,512 = 20,700,512/x
  3. Step 3: Cross multiply
    9,897,768x = 20,700,512 × 20,700,512
  4. Step 4: Simplify right side
    9,897,768x = 428,511,197,062,144
  5. Step 5: Solve for x
    x = 428,511,197,062,144/9,897,768
  6. Step 6: Final answer
    x = 43,293,720.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.