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Finding the Third Proportional to 1,349,011,052 and 3,008,203,286

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Solution

The third proportional to 1,349,011,052 and 3,008,203,286 is: 6,708,089,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,011,052 : 3,008,203,286 = 3,008,203,286 : x
  2. Step 2: Convert to fraction form
    1,349,011,052/3,008,203,286 = 3,008,203,286/x
  3. Step 3: Cross multiply
    1,349,011,052x = 3,008,203,286 × 3,008,203,286
  4. Step 4: Simplify right side
    1,349,011,052x = 9,049,287,009,901,197,312
  5. Step 5: Solve for x
    x = 9,049,287,009,901,197,312/1,349,011,052
  6. Step 6: Final answer
    x = 6,708,089,601.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.