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Finding the Third Proportional to 4,759,846 and 10,277,148

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Solution

The third proportional to 4,759,846 and 10,277,148 is: 22,189,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759,846 : 10,277,148 = 10,277,148 : x
  2. Step 2: Convert to fraction form
    4,759,846/10,277,148 = 10,277,148/x
  3. Step 3: Cross multiply
    4,759,846x = 10,277,148 × 10,277,148
  4. Step 4: Simplify right side
    4,759,846x = 105,619,771,013,904
  5. Step 5: Solve for x
    x = 105,619,771,013,904/4,759,846
  6. Step 6: Final answer
    x = 22,189,745.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.