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Finding the Third Proportional to 1,129,117,362 and 2,351,025,138

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Solution

The third proportional to 1,129,117,362 and 2,351,025,138 is: 4,895,256,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,117,362 : 2,351,025,138 = 2,351,025,138 : x
  2. Step 2: Convert to fraction form
    1,129,117,362/2,351,025,138 = 2,351,025,138/x
  3. Step 3: Cross multiply
    1,129,117,362x = 2,351,025,138 × 2,351,025,138
  4. Step 4: Simplify right side
    1,129,117,362x = 5,527,319,199,507,918,848
  5. Step 5: Solve for x
    x = 5,527,319,199,507,918,848/1,129,117,362
  6. Step 6: Final answer
    x = 4,895,256,583.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.