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Finding the Third Proportional to 189,441,677,888 and 421,239,523,456

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Solution

The third proportional to 189,441,677,888 and 421,239,523,456 is: 936,661,552,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,441,677,888 : 421,239,523,456 = 421,239,523,456 : x
  2. Step 2: Convert to fraction form
    189,441,677,888/421,239,523,456 = 421,239,523,456/x
  3. Step 3: Cross multiply
    189,441,677,888x = 421,239,523,456 × 421,239,523,456
  4. Step 4: Simplify right side
    189,441,677,888x = 177,442,736,121,437,986,226,176
  5. Step 5: Solve for x
    x = 177,442,736,121,437,986,226,176/189,441,677,888
  6. Step 6: Final answer
    x = 936,661,552,514.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.