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Finding the Third Proportional to 355,755,300 and 770,892,672

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Solution

The third proportional to 355,755,300 and 770,892,672 is: 1,670,461,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,755,300 : 770,892,672 = 770,892,672 : x
  2. Step 2: Convert to fraction form
    355,755,300/770,892,672 = 770,892,672/x
  3. Step 3: Cross multiply
    355,755,300x = 770,892,672 × 770,892,672
  4. Step 4: Simplify right side
    355,755,300x = 594,275,511,743,299,584
  5. Step 5: Solve for x
    x = 594,275,511,743,299,584/355,755,300
  6. Step 6: Final answer
    x = 1,670,461,442.86

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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.