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Finding the Third Proportional to 6,354,138,294 and 13,852,378,980

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Solution

The third proportional to 6,354,138,294 and 13,852,378,980 is: 30,198,965,544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354,138,294 : 13,852,378,980 = 13,852,378,980 : x
  2. Step 2: Convert to fraction form
    6,354,138,294/13,852,378,980 = 13,852,378,980/x
  3. Step 3: Cross multiply
    6,354,138,294x = 13,852,378,980 × 13,852,378,980
  4. Step 4: Simplify right side
    6,354,138,294x = 191,888,403,405,545,832,448
  5. Step 5: Solve for x
    x = 191,888,403,405,545,832,448/6,354,138,294
  6. Step 6: Final answer
    x = 30,198,965,544.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.