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Finding the Third Proportional to 665,738,930 and 1,447,353,279.50

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Solution

The third proportional to 665,738,930 and 1,447,353,279.50 is: 3,146,626,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,738,930 : 1,447,353,279.50 = 1,447,353,279.50 : x
  2. Step 2: Convert to fraction form
    665,738,930/1,447,353,279.50 = 1,447,353,279.50/x
  3. Step 3: Cross multiply
    665,738,930x = 1,447,353,279.50 × 1,447,353,279.50
  4. Step 4: Simplify right side
    665,738,930x = 2,094,831,515,679,405,056
  5. Step 5: Solve for x
    x = 2,094,831,515,679,405,056/665,738,930
  6. Step 6: Final answer
    x = 3,146,626,134.18

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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.