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Finding the Third Proportional to 4,655,651.63 and 10,022,832

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Solution

The third proportional to 4,655,651.63 and 10,022,832 is: 21,577,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655,651.63 : 10,022,832 = 10,022,832 : x
  2. Step 2: Convert to fraction form
    4,655,651.63/10,022,832 = 10,022,832/x
  3. Step 3: Cross multiply
    4,655,651.63x = 10,022,832 × 10,022,832
  4. Step 4: Simplify right side
    4,655,651.63x = 100,457,161,300,224
  5. Step 5: Solve for x
    x = 100,457,161,300,224/4,655,651.63
  6. Step 6: Final answer
    x = 21,577,465.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.