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Finding the Third Proportional to 1,295,250,074 and 1,989,662,546

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Solution

The third proportional to 1,295,250,074 and 1,989,662,546 is: 3,056,365,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,250,074 : 1,989,662,546 = 1,989,662,546 : x
  2. Step 2: Convert to fraction form
    1,295,250,074/1,989,662,546 = 1,989,662,546/x
  3. Step 3: Cross multiply
    1,295,250,074x = 1,989,662,546 × 1,989,662,546
  4. Step 4: Simplify right side
    1,295,250,074x = 3,958,757,046,955,202,048
  5. Step 5: Solve for x
    x = 3,958,757,046,955,202,048/1,295,250,074
  6. Step 6: Final answer
    x = 3,056,365,042.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.