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Finding the Third Proportional to 349,764,658 and 747,956,876

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Solution

The third proportional to 349,764,658 and 747,956,876 is: 1,599,474,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764,658 : 747,956,876 = 747,956,876 : x
  2. Step 2: Convert to fraction form
    349,764,658/747,956,876 = 747,956,876/x
  3. Step 3: Cross multiply
    349,764,658x = 747,956,876 × 747,956,876
  4. Step 4: Simplify right side
    349,764,658x = 559,439,488,355,679,360
  5. Step 5: Solve for x
    x = 559,439,488,355,679,360/349,764,658
  6. Step 6: Final answer
    x = 1,599,474,033.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.