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Finding the Third Proportional to 38,362,384 and 82,196,636

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Solution

The third proportional to 38,362,384 and 82,196,636 is: 176,117,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,362,384 : 82,196,636 = 82,196,636 : x
  2. Step 2: Convert to fraction form
    38,362,384/82,196,636 = 82,196,636/x
  3. Step 3: Cross multiply
    38,362,384x = 82,196,636 × 82,196,636
  4. Step 4: Simplify right side
    38,362,384x = 6,756,286,969,716,496
  5. Step 5: Solve for x
    x = 6,756,286,969,716,496/38,362,384
  6. Step 6: Final answer
    x = 176,117,494.93

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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.