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Finding the Third Proportional to 34,011,248,658 and 47,874,462,093

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Solution

The third proportional to 34,011,248,658 and 47,874,462,093 is: 67,388,414,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011,248,658 : 47,874,462,093 = 47,874,462,093 : x
  2. Step 2: Convert to fraction form
    34,011,248,658/47,874,462,093 = 47,874,462,093/x
  3. Step 3: Cross multiply
    34,011,248,658x = 47,874,462,093 × 47,874,462,093
  4. Step 4: Simplify right side
    34,011,248,658x = 2,291,964,120,694,094,036,992
  5. Step 5: Solve for x
    x = 2,291,964,120,694,094,036,992/34,011,248,658
  6. Step 6: Final answer
    x = 67,388,414,454.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.