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Finding the Third Proportional to 1,295,250,072 and 1,989,662,542

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Solution

The third proportional to 1,295,250,072 and 1,989,662,542 is: 3,056,365,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,250,072 : 1,989,662,542 = 1,989,662,542 : x
  2. Step 2: Convert to fraction form
    1,295,250,072/1,989,662,542 = 1,989,662,542/x
  3. Step 3: Cross multiply
    1,295,250,072x = 1,989,662,542 × 1,989,662,542
  4. Step 4: Simplify right side
    1,295,250,072x = 3,958,757,031,037,901,824
  5. Step 5: Solve for x
    x = 3,958,757,031,037,901,824/1,295,250,072
  6. Step 6: Final answer
    x = 3,056,365,034.53

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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.