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Finding the Third Proportional to 40,237,898 and 89,581,640

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Solution

The third proportional to 40,237,898 and 89,581,640 is: 199,435,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,237,898 : 89,581,640 = 89,581,640 : x
  2. Step 2: Convert to fraction form
    40,237,898/89,581,640 = 89,581,640/x
  3. Step 3: Cross multiply
    40,237,898x = 89,581,640 × 89,581,640
  4. Step 4: Simplify right side
    40,237,898x = 8,024,870,225,089,600
  5. Step 5: Solve for x
    x = 8,024,870,225,089,600/40,237,898
  6. Step 6: Final answer
    x = 199,435,622.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.