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Finding the Third Proportional to 7,785,016 and 12,397,020

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Solution

The third proportional to 7,785,016 and 12,397,020 is: 19,741,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785,016 : 12,397,020 = 12,397,020 : x
  2. Step 2: Convert to fraction form
    7,785,016/12,397,020 = 12,397,020/x
  3. Step 3: Cross multiply
    7,785,016x = 12,397,020 × 12,397,020
  4. Step 4: Simplify right side
    7,785,016x = 153,686,104,880,400
  5. Step 5: Solve for x
    x = 153,686,104,880,400/7,785,016
  6. Step 6: Final answer
    x = 19,741,270.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.