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Finding the Third Proportional to 83,668,325,518 and 179,273,036,416

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Solution

The third proportional to 83,668,325,518 and 179,273,036,416 is: 384,121,725,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668,325,518 : 179,273,036,416 = 179,273,036,416 : x
  2. Step 2: Convert to fraction form
    83,668,325,518/179,273,036,416 = 179,273,036,416/x
  3. Step 3: Cross multiply
    83,668,325,518x = 179,273,036,416 × 179,273,036,416
  4. Step 4: Simplify right side
    83,668,325,518x = 32,138,821,585,812,462,764,032
  5. Step 5: Solve for x
    x = 32,138,821,585,812,462,764,032/83,668,325,518
  6. Step 6: Final answer
    x = 384,121,725,716.84

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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.