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Finding the Third Proportional to 355,755,306 and 770,892,684

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Solution

The third proportional to 355,755,306 and 770,892,684 is: 1,670,461,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,755,306 : 770,892,684 = 770,892,684 : x
  2. Step 2: Convert to fraction form
    355,755,306/770,892,684 = 770,892,684/x
  3. Step 3: Cross multiply
    355,755,306x = 770,892,684 × 770,892,684
  4. Step 4: Simplify right side
    355,755,306x = 594,275,530,244,723,840
  5. Step 5: Solve for x
    x = 594,275,530,244,723,840/355,755,306
  6. Step 6: Final answer
    x = 1,670,461,466.69

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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.