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Finding the Third Proportional to 214,621,025.63 and 464,896,694.25

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Solution

The third proportional to 214,621,025.63 and 464,896,694.25 is: 1,007,025,922.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,621,025.63 : 464,896,694.25 = 464,896,694.25 : x
  2. Step 2: Convert to fraction form
    214,621,025.63/464,896,694.25 = 464,896,694.25/x
  3. Step 3: Cross multiply
    214,621,025.63x = 464,896,694.25 × 464,896,694.25
  4. Step 4: Simplify right side
    214,621,025.63x = 216,128,936,324,577,984
  5. Step 5: Solve for x
    x = 216,128,936,324,577,984/214,621,025.63
  6. Step 6: Final answer
    x = 1,007,025,922.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.