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Finding the Third Proportional to 6,354,138,304 and 13,852,378,996

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Solution

The third proportional to 6,354,138,304 and 13,852,378,996 is: 30,198,965,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354,138,304 : 13,852,378,996 = 13,852,378,996 : x
  2. Step 2: Convert to fraction form
    6,354,138,304/13,852,378,996 = 13,852,378,996/x
  3. Step 3: Cross multiply
    6,354,138,304x = 13,852,378,996 × 13,852,378,996
  4. Step 4: Simplify right side
    6,354,138,304x = 191,888,403,848,821,964,800
  5. Step 5: Solve for x
    x = 191,888,403,848,821,964,800/6,354,138,304
  6. Step 6: Final answer
    x = 30,198,965,566.74

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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.