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Finding the Third Proportional to 5,590,020,357 and 11,965,293,999

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Solution

The third proportional to 5,590,020,357 and 11,965,293,999 is: 25,611,402,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590,020,357 : 11,965,293,999 = 11,965,293,999 : x
  2. Step 2: Convert to fraction form
    5,590,020,357/11,965,293,999 = 11,965,293,999/x
  3. Step 3: Cross multiply
    5,590,020,357x = 11,965,293,999 × 11,965,293,999
  4. Step 4: Simplify right side
    5,590,020,357x = 143,168,260,482,505,408,512
  5. Step 5: Solve for x
    x = 143,168,260,482,505,408,512/5,590,020,357
  6. Step 6: Final answer
    x = 25,611,402,345.47

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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.