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Finding the Third Proportional to 7,661,655 and 11,426,042

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Solution

The third proportional to 7,661,655 and 11,426,042 is: 17,039,978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661,655 : 11,426,042 = 11,426,042 : x
  2. Step 2: Convert to fraction form
    7,661,655/11,426,042 = 11,426,042/x
  3. Step 3: Cross multiply
    7,661,655x = 11,426,042 × 11,426,042
  4. Step 4: Simplify right side
    7,661,655x = 130,554,435,785,764
  5. Step 5: Solve for x
    x = 130,554,435,785,764/7,661,655
  6. Step 6: Final answer
    x = 17,039,978.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.