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Finding the Third Proportional to 1,590,752,398 and 3,456,857,672

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Solution

The third proportional to 1,590,752,398 and 3,456,857,672 is: 7,512,083,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,752,398 : 3,456,857,672 = 3,456,857,672 : x
  2. Step 2: Convert to fraction form
    1,590,752,398/3,456,857,672 = 3,456,857,672/x
  3. Step 3: Cross multiply
    1,590,752,398x = 3,456,857,672 × 3,456,857,672
  4. Step 4: Simplify right side
    1,590,752,398x = 11,949,864,964,465,260,544
  5. Step 5: Solve for x
    x = 11,949,864,964,465,260,544/1,590,752,398
  6. Step 6: Final answer
    x = 7,512,083,577.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.