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Finding the Third Proportional to 4,366,271,679 and 9,497,559,336

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Solution

The third proportional to 4,366,271,679 and 9,497,559,336 is: 20,659,189,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366,271,679 : 9,497,559,336 = 9,497,559,336 : x
  2. Step 2: Convert to fraction form
    4,366,271,679/9,497,559,336 = 9,497,559,336/x
  3. Step 3: Cross multiply
    4,366,271,679x = 9,497,559,336 × 9,497,559,336
  4. Step 4: Simplify right side
    4,366,271,679x = 90,203,633,340,840,755,200
  5. Step 5: Solve for x
    x = 90,203,633,340,840,755,200/4,366,271,679
  6. Step 6: Final answer
    x = 20,659,189,343.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.