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Finding the Third Proportional to 5,881,378 and 12,739,832

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Solution

The third proportional to 5,881,378 and 12,739,832 is: 27,596,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881,378 : 12,739,832 = 12,739,832 : x
  2. Step 2: Convert to fraction form
    5,881,378/12,739,832 = 12,739,832/x
  3. Step 3: Cross multiply
    5,881,378x = 12,739,832 × 12,739,832
  4. Step 4: Simplify right side
    5,881,378x = 162,303,319,388,224
  5. Step 5: Solve for x
    x = 162,303,319,388,224/5,881,378
  6. Step 6: Final answer
    x = 27,596,138.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.