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Finding the Third Proportional to 12,292,983,669 and 26,450,424,690

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Solution

The third proportional to 12,292,983,669 and 26,450,424,690 is: 56,912,543,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292,983,669 : 26,450,424,690 = 26,450,424,690 : x
  2. Step 2: Convert to fraction form
    12,292,983,669/26,450,424,690 = 26,450,424,690/x
  3. Step 3: Cross multiply
    12,292,983,669x = 26,450,424,690 × 26,450,424,690
  4. Step 4: Simplify right side
    12,292,983,669x = 699,624,966,281,361,620,992
  5. Step 5: Solve for x
    x = 699,624,966,281,361,620,992/12,292,983,669
  6. Step 6: Final answer
    x = 56,912,543,375.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.