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Finding the Third Proportional to 9,855,659,443,376 and 14,488,256,590,677

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Solution

The third proportional to 9,855,659,443,376 and 14,488,256,590,677 is: 21,298,379,904,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855,659,443,376 : 14,488,256,590,677 = 14,488,256,590,677 : x
  2. Step 2: Convert to fraction form
    9,855,659,443,376/14,488,256,590,677 = 14,488,256,590,677/x
  3. Step 3: Cross multiply
    9,855,659,443,376x = 14,488,256,590,677 × 14,488,256,590,677
  4. Step 4: Simplify right side
    9,855,659,443,376x = 209,909,579,037,295,522,355,347,456
  5. Step 5: Solve for x
    x = 209,909,579,037,295,522,355,347,456/9,855,659,443,376
  6. Step 6: Final answer
    x = 21,298,379,904,794.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.