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Finding the Third Proportional to 14,049,219,582 and 30,337,641,110

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Solution

The third proportional to 14,049,219,582 and 30,337,641,110 is: 65,510,576,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049,219,582 : 30,337,641,110 = 30,337,641,110 : x
  2. Step 2: Convert to fraction form
    14,049,219,582/30,337,641,110 = 30,337,641,110/x
  3. Step 3: Cross multiply
    14,049,219,582x = 30,337,641,110 × 30,337,641,110
  4. Step 4: Simplify right side
    14,049,219,582x = 920,372,468,119,162,060,800
  5. Step 5: Solve for x
    x = 920,372,468,119,162,060,800/14,049,219,582
  6. Step 6: Final answer
    x = 65,510,576,067.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.