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Finding the Third Proportional to 401,314,731.75 and 881,548,449.75

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Solution

The third proportional to 401,314,731.75 and 881,548,449.75 is: 1,936,454,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,314,731.75 : 881,548,449.75 = 881,548,449.75 : x
  2. Step 2: Convert to fraction form
    401,314,731.75/881,548,449.75 = 881,548,449.75/x
  3. Step 3: Cross multiply
    401,314,731.75x = 881,548,449.75 × 881,548,449.75
  4. Step 4: Simplify right side
    401,314,731.75x = 777,127,669,256,628,224
  5. Step 5: Solve for x
    x = 777,127,669,256,628,224/401,314,731.75
  6. Step 6: Final answer
    x = 1,936,454,378.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.