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Finding the Third Proportional to 857,848,342.50 and 1,325,594,434.50

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Solution

The third proportional to 857,848,342.50 and 1,325,594,434.50 is: 2,048,381,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,848,342.50 : 1,325,594,434.50 = 1,325,594,434.50 : x
  2. Step 2: Convert to fraction form
    857,848,342.50/1,325,594,434.50 = 1,325,594,434.50/x
  3. Step 3: Cross multiply
    857,848,342.50x = 1,325,594,434.50 × 1,325,594,434.50
  4. Step 4: Simplify right side
    857,848,342.50x = 1,757,200,604,777,374,720
  5. Step 5: Solve for x
    x = 1,757,200,604,777,374,720/857,848,342.50
  6. Step 6: Final answer
    x = 2,048,381,418.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.