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Finding the Third Proportional to 1,387,293,940 and 2,004,400,162

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Solution

The third proportional to 1,387,293,940 and 2,004,400,162 is: 2,896,012,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,293,940 : 2,004,400,162 = 2,004,400,162 : x
  2. Step 2: Convert to fraction form
    1,387,293,940/2,004,400,162 = 2,004,400,162/x
  3. Step 3: Cross multiply
    1,387,293,940x = 2,004,400,162 × 2,004,400,162
  4. Step 4: Simplify right side
    1,387,293,940x = 4,017,620,009,425,626,112
  5. Step 5: Solve for x
    x = 4,017,620,009,425,626,112/1,387,293,940
  6. Step 6: Final answer
    x = 2,896,012,080.49

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.