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Finding the Third Proportional to 84,295,317,478.50 and 182,025,846,634.50

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Solution

The third proportional to 84,295,317,478.50 and 182,025,846,634.50 is: 393,063,456,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,295,317,478.50 : 182,025,846,634.50 = 182,025,846,634.50 : x
  2. Step 2: Convert to fraction form
    84,295,317,478.50/182,025,846,634.50 = 182,025,846,634.50/x
  3. Step 3: Cross multiply
    84,295,317,478.50x = 182,025,846,634.50 × 182,025,846,634.50
  4. Step 4: Simplify right side
    84,295,317,478.50x = 33,133,408,843,006,514,036,736
  5. Step 5: Solve for x
    x = 33,133,408,843,006,514,036,736/84,295,317,478.50
  6. Step 6: Final answer
    x = 393,063,456,359.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.