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Finding the Third Proportional to 283,447,126 and 440,094,114

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Solution

The third proportional to 283,447,126 and 440,094,114 is: 683,312,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,447,126 : 440,094,114 = 440,094,114 : x
  2. Step 2: Convert to fraction form
    283,447,126/440,094,114 = 440,094,114/x
  3. Step 3: Cross multiply
    283,447,126x = 440,094,114 × 440,094,114
  4. Step 4: Simplify right side
    283,447,126x = 193,682,829,177,444,992
  5. Step 5: Solve for x
    x = 193,682,829,177,444,992/283,447,126
  6. Step 6: Final answer
    x = 683,312,023.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.