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Finding the Third Proportional to 389,705,941 and 848,015,825

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Solution

The third proportional to 389,705,941 and 848,015,825 is: 1,845,316,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,705,941 : 848,015,825 = 848,015,825 : x
  2. Step 2: Convert to fraction form
    389,705,941/848,015,825 = 848,015,825/x
  3. Step 3: Cross multiply
    389,705,941x = 848,015,825 × 848,015,825
  4. Step 4: Simplify right side
    389,705,941x = 719,130,839,450,430,592
  5. Step 5: Solve for x
    x = 719,130,839,450,430,592/389,705,941
  6. Step 6: Final answer
    x = 1,845,316,593.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.