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Finding the Third Proportional to 416,496,033 and 609,412,504.50

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Solution

The third proportional to 416,496,033 and 609,412,504.50 is: 891,685,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,496,033 : 609,412,504.50 = 609,412,504.50 : x
  2. Step 2: Convert to fraction form
    416,496,033/609,412,504.50 = 609,412,504.50/x
  3. Step 3: Cross multiply
    416,496,033x = 609,412,504.50 × 609,412,504.50
  4. Step 4: Simplify right side
    416,496,033x = 371,383,600,640,962,496
  5. Step 5: Solve for x
    x = 371,383,600,640,962,496/416,496,033
  6. Step 6: Final answer
    x = 891,685,805.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.