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Finding the Third Proportional to 1,437,612,112 and 2,054,381,016

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Solution

The third proportional to 1,437,612,112 and 2,054,381,016 is: 2,935,758,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437,612,112 : 2,054,381,016 = 2,054,381,016 : x
  2. Step 2: Convert to fraction form
    1,437,612,112/2,054,381,016 = 2,054,381,016/x
  3. Step 3: Cross multiply
    1,437,612,112x = 2,054,381,016 × 2,054,381,016
  4. Step 4: Simplify right side
    1,437,612,112x = 4,220,481,358,901,192,192
  5. Step 5: Solve for x
    x = 4,220,481,358,901,192,192/1,437,612,112
  6. Step 6: Final answer
    x = 2,935,758,069.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.