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Finding the Third Proportional to 9,897,764 and 20,700,504

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Solution

The third proportional to 9,897,764 and 20,700,504 is: 43,293,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897,764 : 20,700,504 = 20,700,504 : x
  2. Step 2: Convert to fraction form
    9,897,764/20,700,504 = 20,700,504/x
  3. Step 3: Cross multiply
    9,897,764x = 20,700,504 × 20,700,504
  4. Step 4: Simplify right side
    9,897,764x = 428,510,865,854,016
  5. Step 5: Solve for x
    x = 428,510,865,854,016/9,897,764
  6. Step 6: Final answer
    x = 43,293,704.10

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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.