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Finding the Third Proportional to 389,705,933.63 and 848,015,809.88

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Solution

The third proportional to 389,705,933.63 and 848,015,809.88 is: 1,845,316,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,705,933.63 : 848,015,809.88 = 848,015,809.88 : x
  2. Step 2: Convert to fraction form
    389,705,933.63/848,015,809.88 = 848,015,809.88/x
  3. Step 3: Cross multiply
    389,705,933.63x = 848,015,809.88 × 848,015,809.88
  4. Step 4: Simplify right side
    389,705,933.63x = 719,130,813,797,952,128
  5. Step 5: Solve for x
    x = 719,130,813,797,952,128/389,705,933.63
  6. Step 6: Final answer
    x = 1,845,316,562.44

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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.