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Finding the Third Proportional to 998,135,904 and 2,225,775,264

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Solution

The third proportional to 998,135,904 and 2,225,775,264 is: 4,963,327,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,135,904 : 2,225,775,264 = 2,225,775,264 : x
  2. Step 2: Convert to fraction form
    998,135,904/2,225,775,264 = 2,225,775,264/x
  3. Step 3: Cross multiply
    998,135,904x = 2,225,775,264 × 2,225,775,264
  4. Step 4: Simplify right side
    998,135,904x = 4,954,075,525,834,269,696
  5. Step 5: Solve for x
    x = 4,954,075,525,834,269,696/998,135,904
  6. Step 6: Final answer
    x = 4,963,327,645.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.