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Finding the Third Proportional to 416,309,303,658.75 and 561,699,000,270

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Solution

The third proportional to 416,309,303,658.75 and 561,699,000,270 is: 757,863,838,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,309,303,658.75 : 561,699,000,270 = 561,699,000,270 : x
  2. Step 2: Convert to fraction form
    416,309,303,658.75/561,699,000,270 = 561,699,000,270/x
  3. Step 3: Cross multiply
    416,309,303,658.75x = 561,699,000,270 × 561,699,000,270
  4. Step 4: Simplify right side
    416,309,303,658.75x = 315,505,766,904,317,492,592,640
  5. Step 5: Solve for x
    x = 315,505,766,904,317,492,592,640/416,309,303,658.75
  6. Step 6: Final answer
    x = 757,863,838,572.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.