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Finding the Third Proportional to 927,165,132 and 1,964,869,992

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Solution

The third proportional to 927,165,132 and 1,964,869,992 is: 4,163,998,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,165,132 : 1,964,869,992 = 1,964,869,992 : x
  2. Step 2: Convert to fraction form
    927,165,132/1,964,869,992 = 1,964,869,992/x
  3. Step 3: Cross multiply
    927,165,132x = 1,964,869,992 × 1,964,869,992
  4. Step 4: Simplify right side
    927,165,132x = 3,860,714,085,462,080,000
  5. Step 5: Solve for x
    x = 3,860,714,085,462,080,000/927,165,132
  6. Step 6: Final answer
    x = 4,163,998,356.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.