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Finding the Third Proportional to 16,816,475,215 and 23,651,247,249

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Solution

The third proportional to 16,816,475,215 and 23,651,247,249 is: 33,263,896,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816,475,215 : 23,651,247,249 = 23,651,247,249 : x
  2. Step 2: Convert to fraction form
    16,816,475,215/23,651,247,249 = 23,651,247,249/x
  3. Step 3: Cross multiply
    16,816,475,215x = 23,651,247,249 × 23,651,247,249
  4. Step 4: Simplify right side
    16,816,475,215x = 559,381,496,433,330,094,080
  5. Step 5: Solve for x
    x = 559,381,496,433,330,094,080/16,816,475,215
  6. Step 6: Final answer
    x = 33,263,896,820.33

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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.