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Finding the Third Proportional to 84,846,723,858 and 127,624,320,819

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Solution

The third proportional to 84,846,723,858 and 127,624,320,819 is: 191,969,312,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,846,723,858 : 127,624,320,819 = 127,624,320,819 : x
  2. Step 2: Convert to fraction form
    84,846,723,858/127,624,320,819 = 127,624,320,819/x
  3. Step 3: Cross multiply
    84,846,723,858x = 127,624,320,819 × 127,624,320,819
  4. Step 4: Simplify right side
    84,846,723,858x = 16,287,967,264,511,035,965,440
  5. Step 5: Solve for x
    x = 16,287,967,264,511,035,965,440/84,846,723,858
  6. Step 6: Final answer
    x = 191,969,312,707.59

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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.