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Finding the Third Proportional to 1,400,499,778 and 3,241,907,749

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Solution

The third proportional to 1,400,499,778 and 3,241,907,749 is: 7,504,439,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400,499,778 : 3,241,907,749 = 3,241,907,749 : x
  2. Step 2: Convert to fraction form
    1,400,499,778/3,241,907,749 = 3,241,907,749/x
  3. Step 3: Cross multiply
    1,400,499,778x = 3,241,907,749 × 3,241,907,749
  4. Step 4: Simplify right side
    1,400,499,778x = 10,509,965,853,026,246,656
  5. Step 5: Solve for x
    x = 10,509,965,853,026,246,656/1,400,499,778
  6. Step 6: Final answer
    x = 7,504,439,499.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.