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Finding the Third Proportional to 350,576,865 and 749,783,826

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Solution

The third proportional to 350,576,865 and 749,783,826 is: 1,603,573,543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,576,865 : 749,783,826 = 749,783,826 : x
  2. Step 2: Convert to fraction form
    350,576,865/749,783,826 = 749,783,826/x
  3. Step 3: Cross multiply
    350,576,865x = 749,783,826 × 749,783,826
  4. Step 4: Simplify right side
    350,576,865x = 562,175,785,731,198,272
  5. Step 5: Solve for x
    x = 562,175,785,731,198,272/350,576,865
  6. Step 6: Final answer
    x = 1,603,573,543.65

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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.