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Finding the Third Proportional to 327,482,736 and 710,220,126

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Solution

The third proportional to 327,482,736 and 710,220,126 is: 1,540,272,423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,482,736 : 710,220,126 = 710,220,126 : x
  2. Step 2: Convert to fraction form
    327,482,736/710,220,126 = 710,220,126/x
  3. Step 3: Cross multiply
    327,482,736x = 710,220,126 × 710,220,126
  4. Step 4: Simplify right side
    327,482,736x = 504,412,627,375,455,872
  5. Step 5: Solve for x
    x = 504,412,627,375,455,872/327,482,736
  6. Step 6: Final answer
    x = 1,540,272,423.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.