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Finding the Third Proportional to 30,194,940,167 and 45,030,563,291

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Solution

The third proportional to 30,194,940,167 and 45,030,563,291 is: 67,155,345,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194,940,167 : 45,030,563,291 = 45,030,563,291 : x
  2. Step 2: Convert to fraction form
    30,194,940,167/45,030,563,291 = 45,030,563,291/x
  3. Step 3: Cross multiply
    30,194,940,167x = 45,030,563,291 × 45,030,563,291
  4. Step 4: Simplify right side
    30,194,940,167x = 2,027,751,630,304,756,629,504
  5. Step 5: Solve for x
    x = 2,027,751,630,304,756,629,504/30,194,940,167
  6. Step 6: Final answer
    x = 67,155,345,203.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.