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Finding the Third Proportional to 4,707,741.94 and 9,980,450.44

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Solution

The third proportional to 4,707,741.94 and 9,980,450.44 is: 21,158,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,741.94 : 9,980,450.44 = 9,980,450.44 : x
  2. Step 2: Convert to fraction form
    4,707,741.94/9,980,450.44 = 9,980,450.44/x
  3. Step 3: Cross multiply
    4,707,741.94x = 9,980,450.44 × 9,980,450.44
  4. Step 4: Simplify right side
    4,707,741.94x = 99,609,390,935,393.94
  5. Step 5: Solve for x
    x = 99,609,390,935,393.94/4,707,741.94
  6. Step 6: Final answer
    x = 21,158,634.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.