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Finding the Third Proportional to 6,501,814,476 and 14,245,783,716

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Solution

The third proportional to 6,501,814,476 and 14,245,783,716 is: 31,213,187,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501,814,476 : 14,245,783,716 = 14,245,783,716 : x
  2. Step 2: Convert to fraction form
    6,501,814,476/14,245,783,716 = 14,245,783,716/x
  3. Step 3: Cross multiply
    6,501,814,476x = 14,245,783,716 × 14,245,783,716
  4. Step 4: Simplify right side
    6,501,814,476x = 202,942,353,683,050,758,144
  5. Step 5: Solve for x
    x = 202,942,353,683,050,758,144/6,501,814,476
  6. Step 6: Final answer
    x = 31,213,187,400.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.