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Finding the Third Proportional to 26,014,432,590 and 41,394,076,348.50

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Solution

The third proportional to 26,014,432,590 and 41,394,076,348.50 is: 65,866,113,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014,432,590 : 41,394,076,348.50 = 41,394,076,348.50 : x
  2. Step 2: Convert to fraction form
    26,014,432,590/41,394,076,348.50 = 41,394,076,348.50/x
  3. Step 3: Cross multiply
    26,014,432,590x = 41,394,076,348.50 × 41,394,076,348.50
  4. Step 4: Simplify right side
    26,014,432,590x = 1,713,469,556,745,447,145,472
  5. Step 5: Solve for x
    x = 1,713,469,556,745,447,145,472/26,014,432,590
  6. Step 6: Final answer
    x = 65,866,113,005.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.