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Finding the Third Proportional to 4,941,054 and 7,382,495.25

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Solution

The third proportional to 4,941,054 and 7,382,495.25 is: 11,030,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941,054 : 7,382,495.25 = 7,382,495.25 : x
  2. Step 2: Convert to fraction form
    4,941,054/7,382,495.25 = 7,382,495.25/x
  3. Step 3: Cross multiply
    4,941,054x = 7,382,495.25 × 7,382,495.25
  4. Step 4: Simplify right side
    4,941,054x = 54,501,236,116,272.56
  5. Step 5: Solve for x
    x = 54,501,236,116,272.56/4,941,054
  6. Step 6: Final answer
    x = 11,030,285.46

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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.