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Finding the Third Proportional to 30,162,694,680 and 63,451,154,736

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Solution

The third proportional to 30,162,694,680 and 63,451,154,736 is: 133,477,763,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162,694,680 : 63,451,154,736 = 63,451,154,736 : x
  2. Step 2: Convert to fraction form
    30,162,694,680/63,451,154,736 = 63,451,154,736/x
  3. Step 3: Cross multiply
    30,162,694,680x = 63,451,154,736 × 63,451,154,736
  4. Step 4: Simplify right side
    30,162,694,680x = 4,026,049,037,331,815,464,960
  5. Step 5: Solve for x
    x = 4,026,049,037,331,815,464,960/30,162,694,680
  6. Step 6: Final answer
    x = 133,477,763,841.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.