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Finding the Third Proportional to 1,127,245,714 and 2,331,816,095

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Solution

The third proportional to 1,127,245,714 and 2,331,816,095 is: 4,823,585,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,245,714 : 2,331,816,095 = 2,331,816,095 : x
  2. Step 2: Convert to fraction form
    1,127,245,714/2,331,816,095 = 2,331,816,095/x
  3. Step 3: Cross multiply
    1,127,245,714x = 2,331,816,095 × 2,331,816,095
  4. Step 4: Simplify right side
    1,127,245,714x = 5,437,366,300,901,049,344
  5. Step 5: Solve for x
    x = 5,437,366,300,901,049,344/1,127,245,714
  6. Step 6: Final answer
    x = 4,823,585,695.09

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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.