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Finding the Third Proportional to 154,078,114,750 and 312,488,555,756

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Solution

The third proportional to 154,078,114,750 and 312,488,555,756 is: 633,763,579,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,078,114,750 : 312,488,555,756 = 312,488,555,756 : x
  2. Step 2: Convert to fraction form
    154,078,114,750/312,488,555,756 = 312,488,555,756/x
  3. Step 3: Cross multiply
    154,078,114,750x = 312,488,555,756 × 312,488,555,756
  4. Step 4: Simplify right side
    154,078,114,750x = 97,649,097,478,470,725,795,840
  5. Step 5: Solve for x
    x = 97,649,097,478,470,725,795,840/154,078,114,750
  6. Step 6: Final answer
    x = 633,763,579,187.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.