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Finding the Third Proportional to 6,456,672,003 and 13,903,598,982

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Solution

The third proportional to 6,456,672,003 and 13,903,598,982 is: 29,939,582,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456,672,003 : 13,903,598,982 = 13,903,598,982 : x
  2. Step 2: Convert to fraction form
    6,456,672,003/13,903,598,982 = 13,903,598,982/x
  3. Step 3: Cross multiply
    6,456,672,003x = 13,903,598,982 × 13,903,598,982
  4. Step 4: Simplify right side
    6,456,672,003x = 193,310,064,652,271,452,160
  5. Step 5: Solve for x
    x = 193,310,064,652,271,452,160/6,456,672,003
  6. Step 6: Final answer
    x = 29,939,582,584.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.