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Finding the Third Proportional to 437,669,932.50 and 945,220,817.81

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Solution

The third proportional to 437,669,932.50 and 945,220,817.81 is: 2,041,361,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,669,932.50 : 945,220,817.81 = 945,220,817.81 : x
  2. Step 2: Convert to fraction form
    437,669,932.50/945,220,817.81 = 945,220,817.81/x
  3. Step 3: Cross multiply
    437,669,932.50x = 945,220,817.81 × 945,220,817.81
  4. Step 4: Simplify right side
    437,669,932.50x = 893,442,394,426,131,328
  5. Step 5: Solve for x
    x = 893,442,394,426,131,328/437,669,932.50
  6. Step 6: Final answer
    x = 2,041,361,144.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.