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Finding the Third Proportional to 299,955,770 and 467,470,695

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Solution

The third proportional to 299,955,770 and 467,470,695 is: 728,536,912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,955,770 : 467,470,695 = 467,470,695 : x
  2. Step 2: Convert to fraction form
    299,955,770/467,470,695 = 467,470,695/x
  3. Step 3: Cross multiply
    299,955,770x = 467,470,695 × 467,470,695
  4. Step 4: Simplify right side
    299,955,770x = 218,528,850,683,783,040
  5. Step 5: Solve for x
    x = 218,528,850,683,783,040/299,955,770
  6. Step 6: Final answer
    x = 728,536,912.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.