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Finding the Third Proportional to 274,061,416 and 403,522,188

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Solution

The third proportional to 274,061,416 and 403,522,188 is: 594,137,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,061,416 : 403,522,188 = 403,522,188 : x
  2. Step 2: Convert to fraction form
    274,061,416/403,522,188 = 403,522,188/x
  3. Step 3: Cross multiply
    274,061,416x = 403,522,188 × 403,522,188
  4. Step 4: Simplify right side
    274,061,416x = 162,830,156,208,307,328
  5. Step 5: Solve for x
    x = 162,830,156,208,307,328/274,061,416
  6. Step 6: Final answer
    x = 594,137,469.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.