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Finding the Third Proportional to 3,061,012,271,476 and 6,576,288,617,672

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Solution

The third proportional to 3,061,012,271,476 and 6,576,288,617,672 is: 14,128,519,635,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061,012,271,476 : 6,576,288,617,672 = 6,576,288,617,672 : x
  2. Step 2: Convert to fraction form
    3,061,012,271,476/6,576,288,617,672 = 6,576,288,617,672/x
  3. Step 3: Cross multiply
    3,061,012,271,476x = 6,576,288,617,672 × 6,576,288,617,672
  4. Step 4: Simplify right side
    3,061,012,271,476x = 43,247,571,982,922,308,711,874,560
  5. Step 5: Solve for x
    x = 43,247,571,982,922,308,711,874,560/3,061,012,271,476
  6. Step 6: Final answer
    x = 14,128,519,635,783.30

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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.