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Finding the Third Proportional to 6,664,579,296 and 13,880,781,900

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Solution

The third proportional to 6,664,579,296 and 13,880,781,900 is: 28,910,467,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664,579,296 : 13,880,781,900 = 13,880,781,900 : x
  2. Step 2: Convert to fraction form
    6,664,579,296/13,880,781,900 = 13,880,781,900/x
  3. Step 3: Cross multiply
    6,664,579,296x = 13,880,781,900 × 13,880,781,900
  4. Step 4: Simplify right side
    6,664,579,296x = 192,676,106,155,367,596,032
  5. Step 5: Solve for x
    x = 192,676,106,155,367,596,032/6,664,579,296
  6. Step 6: Final answer
    x = 28,910,467,952.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.