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Finding the Third Proportional to 3,260,453,294 and 7,161,432,003

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Solution

The third proportional to 3,260,453,294 and 7,161,432,003 is: 15,729,747,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260,453,294 : 7,161,432,003 = 7,161,432,003 : x
  2. Step 2: Convert to fraction form
    3,260,453,294/7,161,432,003 = 7,161,432,003/x
  3. Step 3: Cross multiply
    3,260,453,294x = 7,161,432,003 × 7,161,432,003
  4. Step 4: Simplify right side
    3,260,453,294x = 51,286,108,333,592,592,384
  5. Step 5: Solve for x
    x = 51,286,108,333,592,592,384/3,260,453,294
  6. Step 6: Final answer
    x = 15,729,747,893.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.