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Finding the Third Proportional to 389,705,937 and 848,015,817

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Solution

The third proportional to 389,705,937 and 848,015,817 is: 1,845,316,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,705,937 : 848,015,817 = 848,015,817 : x
  2. Step 2: Convert to fraction form
    389,705,937/848,015,817 = 848,015,817/x
  3. Step 3: Cross multiply
    389,705,937x = 848,015,817 × 848,015,817
  4. Step 4: Simplify right side
    389,705,937x = 719,130,825,882,177,536
  5. Step 5: Solve for x
    x = 719,130,825,882,177,536/389,705,937
  6. Step 6: Final answer
    x = 1,845,316,577.46

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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.