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Finding the Third Proportional to 20,630,329,705,863 and 44,158,730,478,900

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Solution

The third proportional to 20,630,329,705,863 and 44,158,730,478,900 is: 94,520,713,207,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,630,329,705,863 : 44,158,730,478,900 = 44,158,730,478,900 : x
  2. Step 2: Convert to fraction form
    20,630,329,705,863/44,158,730,478,900 = 44,158,730,478,900/x
  3. Step 3: Cross multiply
    20,630,329,705,863x = 44,158,730,478,900 × 44,158,730,478,900
  4. Step 4: Simplify right side
    20,630,329,705,863x = 1,949,993,477,508,131,713,110,245,376
  5. Step 5: Solve for x
    x = 1,949,993,477,508,131,713,110,245,376/20,630,329,705,863
  6. Step 6: Final answer
    x = 94,520,713,207,698.12

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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.