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Finding the Third Proportional to 38,202,793,434 and 82,210,339,764

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Solution

The third proportional to 38,202,793,434 and 82,210,339,764 is: 176,912,192,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202,793,434 : 82,210,339,764 = 82,210,339,764 : x
  2. Step 2: Convert to fraction form
    38,202,793,434/82,210,339,764 = 82,210,339,764/x
  3. Step 3: Cross multiply
    38,202,793,434x = 82,210,339,764 × 82,210,339,764
  4. Step 4: Simplify right side
    38,202,793,434x = 6,758,539,964,112,319,807,488
  5. Step 5: Solve for x
    x = 6,758,539,964,112,319,807,488/38,202,793,434
  6. Step 6: Final answer
    x = 176,912,192,973.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.