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Finding the Third Proportional to 3,486,180,291 and 7,469,709,970

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Solution

The third proportional to 3,486,180,291 and 7,469,709,970 is: 16,005,072,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486,180,291 : 7,469,709,970 = 7,469,709,970 : x
  2. Step 2: Convert to fraction form
    3,486,180,291/7,469,709,970 = 7,469,709,970/x
  3. Step 3: Cross multiply
    3,486,180,291x = 7,469,709,970 × 7,469,709,970
  4. Step 4: Simplify right side
    3,486,180,291x = 55,796,567,035,917,402,112
  5. Step 5: Solve for x
    x = 55,796,567,035,917,402,112/3,486,180,291
  6. Step 6: Final answer
    x = 16,005,072,135.82

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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.