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Finding the Third Proportional to 31,722,423,648 and 47,992,296,990

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Solution

The third proportional to 31,722,423,648 and 47,992,296,990 is: 72,606,702,310.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722,423,648 : 47,992,296,990 = 47,992,296,990 : x
  2. Step 2: Convert to fraction form
    31,722,423,648/47,992,296,990 = 47,992,296,990/x
  3. Step 3: Cross multiply
    31,722,423,648x = 47,992,296,990 × 47,992,296,990
  4. Step 4: Simplify right side
    31,722,423,648x = 2,303,260,570,376,363,048,960
  5. Step 5: Solve for x
    x = 2,303,260,570,376,363,048,960/31,722,423,648
  6. Step 6: Final answer
    x = 72,606,702,310.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.