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Finding the Third Proportional to 31,239,368,500 and 47,589,950,206

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Solution

The third proportional to 31,239,368,500 and 47,589,950,206 is: 72,498,372,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,239,368,500 : 47,589,950,206 = 47,589,950,206 : x
  2. Step 2: Convert to fraction form
    31,239,368,500/47,589,950,206 = 47,589,950,206/x
  3. Step 3: Cross multiply
    31,239,368,500x = 47,589,950,206 × 47,589,950,206
  4. Step 4: Simplify right side
    31,239,368,500x = 2,264,803,360,609,559,379,968
  5. Step 5: Solve for x
    x = 2,264,803,360,609,559,379,968/31,239,368,500
  6. Step 6: Final answer
    x = 72,498,372,065.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.