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Finding the Third Proportional to 5,701,977 and 12,407,787

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Solution

The third proportional to 5,701,977 and 12,407,787 is: 26,999,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701,977 : 12,407,787 = 12,407,787 : x
  2. Step 2: Convert to fraction form
    5,701,977/12,407,787 = 12,407,787/x
  3. Step 3: Cross multiply
    5,701,977x = 12,407,787 × 12,407,787
  4. Step 4: Simplify right side
    5,701,977x = 153,953,178,237,369
  5. Step 5: Solve for x
    x = 153,953,178,237,369/5,701,977
  6. Step 6: Final answer
    x = 26,999,964.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.