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Finding the Third Proportional to 5,846,936,010 and 9,598,389,903

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Solution

The third proportional to 5,846,936,010 and 9,598,389,903 is: 15,756,814,949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,936,010 : 9,598,389,903 = 9,598,389,903 : x
  2. Step 2: Convert to fraction form
    5,846,936,010/9,598,389,903 = 9,598,389,903/x
  3. Step 3: Cross multiply
    5,846,936,010x = 9,598,389,903 × 9,598,389,903
  4. Step 4: Simplify right side
    5,846,936,010x = 92,129,088,730,012,352,512
  5. Step 5: Solve for x
    x = 92,129,088,730,012,352,512/5,846,936,010
  6. Step 6: Final answer
    x = 15,756,814,949.31

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.