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Finding the Third Proportional to 937,763,640 and 1,378,548,084

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Solution

The third proportional to 937,763,640 and 1,378,548,084 is: 2,026,517,918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,763,640 : 1,378,548,084 = 1,378,548,084 : x
  2. Step 2: Convert to fraction form
    937,763,640/1,378,548,084 = 1,378,548,084/x
  3. Step 3: Cross multiply
    937,763,640x = 1,378,548,084 × 1,378,548,084
  4. Step 4: Simplify right side
    937,763,640x = 1,900,394,819,900,071,168
  5. Step 5: Solve for x
    x = 1,900,394,819,900,071,168/937,763,640
  6. Step 6: Final answer
    x = 2,026,517,918.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.