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Finding the Third Proportional to 14,530,235,272 and 22,743,786,738

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Solution

The third proportional to 14,530,235,272 and 22,743,786,738 is: 35,600,238,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530,235,272 : 22,743,786,738 = 22,743,786,738 : x
  2. Step 2: Convert to fraction form
    14,530,235,272/22,743,786,738 = 22,743,786,738/x
  3. Step 3: Cross multiply
    14,530,235,272x = 22,743,786,738 × 22,743,786,738
  4. Step 4: Simplify right side
    14,530,235,272x = 517,279,835,183,624,683,520
  5. Step 5: Solve for x
    x = 517,279,835,183,624,683,520/14,530,235,272
  6. Step 6: Final answer
    x = 35,600,238,089.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.