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Finding the Third Proportional to 350,576,835 and 749,783,763

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Solution

The third proportional to 350,576,835 and 749,783,763 is: 1,603,573,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,576,835 : 749,783,763 = 749,783,763 : x
  2. Step 2: Convert to fraction form
    350,576,835/749,783,763 = 749,783,763/x
  3. Step 3: Cross multiply
    350,576,835x = 749,783,763 × 749,783,763
  4. Step 4: Simplify right side
    350,576,835x = 562,175,691,258,440,192
  5. Step 5: Solve for x
    x = 562,175,691,258,440,192/350,576,835
  6. Step 6: Final answer
    x = 1,603,573,411.40

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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.