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Finding the Third Proportional to 1,255,623,795 and 2,932,770,348

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Solution

The third proportional to 1,255,623,795 and 2,932,770,348 is: 6,850,094,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255,623,795 : 2,932,770,348 = 2,932,770,348 : x
  2. Step 2: Convert to fraction form
    1,255,623,795/2,932,770,348 = 2,932,770,348/x
  3. Step 3: Cross multiply
    1,255,623,795x = 2,932,770,348 × 2,932,770,348
  4. Step 4: Simplify right side
    1,255,623,795x = 8,601,141,914,108,041,216
  5. Step 5: Solve for x
    x = 8,601,141,914,108,041,216/1,255,623,795
  6. Step 6: Final answer
    x = 6,850,094,708.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.