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Finding the Third Proportional to 5,177,040 and 7,837,944

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Solution

The third proportional to 5,177,040 and 7,837,944 is: 11,866,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,040 : 7,837,944 = 7,837,944 : x
  2. Step 2: Convert to fraction form
    5,177,040/7,837,944 = 7,837,944/x
  3. Step 3: Cross multiply
    5,177,040x = 7,837,944 × 7,837,944
  4. Step 4: Simplify right side
    5,177,040x = 61,433,366,147,136
  5. Step 5: Solve for x
    x = 61,433,366,147,136/5,177,040
  6. Step 6: Final answer
    x = 11,866,504.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.