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Finding the Third Proportional to 1,102,138,257 and 2,379,602,837

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Solution

The third proportional to 1,102,138,257 and 2,379,602,837 is: 5,137,748,940.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,138,257 : 2,379,602,837 = 2,379,602,837 : x
  2. Step 2: Convert to fraction form
    1,102,138,257/2,379,602,837 = 2,379,602,837/x
  3. Step 3: Cross multiply
    1,102,138,257x = 2,379,602,837 × 2,379,602,837
  4. Step 4: Simplify right side
    1,102,138,257x = 5,662,509,661,858,448,384
  5. Step 5: Solve for x
    x = 5,662,509,661,858,448,384/1,102,138,257
  6. Step 6: Final answer
    x = 5,137,748,940.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.