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Finding the Third Proportional to 389,706,052 and 848,016,296

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Solution

The third proportional to 389,706,052 and 848,016,296 is: 1,845,318,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,706,052 : 848,016,296 = 848,016,296 : x
  2. Step 2: Convert to fraction form
    389,706,052/848,016,296 = 848,016,296/x
  3. Step 3: Cross multiply
    389,706,052x = 848,016,296 × 848,016,296
  4. Step 4: Simplify right side
    389,706,052x = 719,131,638,281,559,552
  5. Step 5: Solve for x
    x = 719,131,638,281,559,552/389,706,052
  6. Step 6: Final answer
    x = 1,845,318,117.57

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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.