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Finding the Third Proportional to 3,061,012,271,491 and 6,576,288,617,701

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Solution

The third proportional to 3,061,012,271,491 and 6,576,288,617,701 is: 14,128,519,635,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061,012,271,491 : 6,576,288,617,701 = 6,576,288,617,701 : x
  2. Step 2: Convert to fraction form
    3,061,012,271,491/6,576,288,617,701 = 6,576,288,617,701/x
  3. Step 3: Cross multiply
    3,061,012,271,491x = 6,576,288,617,701 × 6,576,288,617,701
  4. Step 4: Simplify right side
    3,061,012,271,491x = 43,247,571,983,303,727,577,563,136
  5. Step 5: Solve for x
    x = 43,247,571,983,303,727,577,563,136/3,061,012,271,491
  6. Step 6: Final answer
    x = 14,128,519,635,838.67

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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.