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Finding the Third Proportional to 1,127,245,718 and 2,331,816,102

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Solution

The third proportional to 1,127,245,718 and 2,331,816,102 is: 4,823,585,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,245,718 : 2,331,816,102 = 2,331,816,102 : x
  2. Step 2: Convert to fraction form
    1,127,245,718/2,331,816,102 = 2,331,816,102/x
  3. Step 3: Cross multiply
    1,127,245,718x = 2,331,816,102 × 2,331,816,102
  4. Step 4: Simplify right side
    1,127,245,718x = 5,437,366,333,546,474,496
  5. Step 5: Solve for x
    x = 5,437,366,333,546,474,496/1,127,245,718
  6. Step 6: Final answer
    x = 4,823,585,706.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.