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Finding the Third Proportional to 12,020,137,476 and 16,609,558,158

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Solution

The third proportional to 12,020,137,476 and 16,609,558,158 is: 22,951,270,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020,137,476 : 16,609,558,158 = 16,609,558,158 : x
  2. Step 2: Convert to fraction form
    12,020,137,476/16,609,558,158 = 16,609,558,158/x
  3. Step 3: Cross multiply
    12,020,137,476x = 16,609,558,158 × 16,609,558,158
  4. Step 4: Simplify right side
    12,020,137,476x = 275,877,422,203,984,347,136
  5. Step 5: Solve for x
    x = 275,877,422,203,984,347,136/12,020,137,476
  6. Step 6: Final answer
    x = 22,951,270,129.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.