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Finding the Third Proportional to 10,916,174,611 and 16,330,624,630

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Solution

The third proportional to 10,916,174,611 and 16,330,624,630 is: 24,430,655,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916,174,611 : 16,330,624,630 = 16,330,624,630 : x
  2. Step 2: Convert to fraction form
    10,916,174,611/16,330,624,630 = 16,330,624,630/x
  3. Step 3: Cross multiply
    10,916,174,611x = 16,330,624,630 × 16,330,624,630
  4. Step 4: Simplify right side
    10,916,174,611x = 266,689,300,805,962,629,120
  5. Step 5: Solve for x
    x = 266,689,300,805,962,629,120/10,916,174,611
  6. Step 6: Final answer
    x = 24,430,655,454.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.