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Finding the Third Proportional to 1,107,851,920 and 2,392,590,003

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Solution

The third proportional to 1,107,851,920 and 2,392,590,003 is: 5,167,195,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,851,920 : 2,392,590,003 = 2,392,590,003 : x
  2. Step 2: Convert to fraction form
    1,107,851,920/2,392,590,003 = 2,392,590,003/x
  3. Step 3: Cross multiply
    1,107,851,920x = 2,392,590,003 × 2,392,590,003
  4. Step 4: Simplify right side
    1,107,851,920x = 5,724,486,922,455,539,712
  5. Step 5: Solve for x
    x = 5,724,486,922,455,539,712/1,107,851,920
  6. Step 6: Final answer
    x = 5,167,195,018.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.