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Finding the Third Proportional to 20,642,878.13 and 30,962,313.56

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Solution

The third proportional to 20,642,878.13 and 30,962,313.56 is: 46,440,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,642,878.13 : 30,962,313.56 = 30,962,313.56 : x
  2. Step 2: Convert to fraction form
    20,642,878.13/30,962,313.56 = 30,962,313.56/x
  3. Step 3: Cross multiply
    20,642,878.13x = 30,962,313.56 × 30,962,313.56
  4. Step 4: Simplify right side
    20,642,878.13x = 958,664,861,142,571.50
  5. Step 5: Solve for x
    x = 958,664,861,142,571.50/20,642,878.13
  6. Step 6: Final answer
    x = 46,440,465.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.