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Finding the Third Proportional to 1,844,387,810 and 3,952,370,356

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Solution

The third proportional to 1,844,387,810 and 3,952,370,356 is: 8,469,602,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844,387,810 : 3,952,370,356 = 3,952,370,356 : x
  2. Step 2: Convert to fraction form
    1,844,387,810/3,952,370,356 = 3,952,370,356/x
  3. Step 3: Cross multiply
    1,844,387,810x = 3,952,370,356 × 3,952,370,356
  4. Step 4: Simplify right side
    1,844,387,810x = 15,621,231,430,987,567,104
  5. Step 5: Solve for x
    x = 15,621,231,430,987,567,104/1,844,387,810
  6. Step 6: Final answer
    x = 8,469,602,404.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.