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Finding the Third Proportional to 306,583,245 and 664,915,554

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Solution

The third proportional to 306,583,245 and 664,915,554 is: 1,442,064,108.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,583,245 : 664,915,554 = 664,915,554 : x
  2. Step 2: Convert to fraction form
    306,583,245/664,915,554 = 664,915,554/x
  3. Step 3: Cross multiply
    306,583,245x = 664,915,554 × 664,915,554
  4. Step 4: Simplify right side
    306,583,245x = 442,112,693,951,126,912
  5. Step 5: Solve for x
    x = 442,112,693,951,126,912/306,583,245
  6. Step 6: Final answer
    x = 1,442,064,108.73

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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.