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Finding the Third Proportional to 18,965,559,474 and 42,171,518,532

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Solution

The third proportional to 18,965,559,474 and 42,171,518,532 is: 93,771,922,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,965,559,474 : 42,171,518,532 = 42,171,518,532 : x
  2. Step 2: Convert to fraction form
    18,965,559,474/42,171,518,532 = 42,171,518,532/x
  3. Step 3: Cross multiply
    18,965,559,474x = 42,171,518,532 × 42,171,518,532
  4. Step 4: Simplify right side
    18,965,559,474x = 1,778,436,975,294,819,336,192
  5. Step 5: Solve for x
    x = 1,778,436,975,294,819,336,192/18,965,559,474
  6. Step 6: Final answer
    x = 93,771,922,612.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.