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Finding the Third Proportional to 8,824,393,768 and 18,907,703,176

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Solution

The third proportional to 8,824,393,768 and 18,907,703,176 is: 40,512,838,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824,393,768 : 18,907,703,176 = 18,907,703,176 : x
  2. Step 2: Convert to fraction form
    8,824,393,768/18,907,703,176 = 18,907,703,176/x
  3. Step 3: Cross multiply
    8,824,393,768x = 18,907,703,176 × 18,907,703,176
  4. Step 4: Simplify right side
    8,824,393,768x = 357,501,239,391,720,505,344
  5. Step 5: Solve for x
    x = 357,501,239,391,720,505,344/8,824,393,768
  6. Step 6: Final answer
    x = 40,512,838,478.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.