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Finding the Third Proportional to 19,782,564 and 29,880,550.50

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Solution

The third proportional to 19,782,564 and 29,880,550.50 is: 45,133,042.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782,564 : 29,880,550.50 = 29,880,550.50 : x
  2. Step 2: Convert to fraction form
    19,782,564/29,880,550.50 = 29,880,550.50/x
  3. Step 3: Cross multiply
    19,782,564x = 29,880,550.50 × 29,880,550.50
  4. Step 4: Simplify right side
    19,782,564x = 892,847,298,183,050.25
  5. Step 5: Solve for x
    x = 892,847,298,183,050.25/19,782,564
  6. Step 6: Final answer
    x = 45,133,042.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.