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Finding the Third Proportional to 41,232,309 and 81,423,847.50

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Solution

The third proportional to 41,232,309 and 81,423,847.50 is: 160,792,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,232,309 : 81,423,847.50 = 81,423,847.50 : x
  2. Step 2: Convert to fraction form
    41,232,309/81,423,847.50 = 81,423,847.50/x
  3. Step 3: Cross multiply
    41,232,309x = 81,423,847.50 × 81,423,847.50
  4. Step 4: Simplify right side
    41,232,309x = 6,629,842,941,703,256
  5. Step 5: Solve for x
    x = 6,629,842,941,703,256/41,232,309
  6. Step 6: Final answer
    x = 160,792,424.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.