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Finding the Third Proportional to 927,165,072 and 1,964,869,872

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Solution

The third proportional to 927,165,072 and 1,964,869,872 is: 4,163,998,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,165,072 : 1,964,869,872 = 1,964,869,872 : x
  2. Step 2: Convert to fraction form
    927,165,072/1,964,869,872 = 1,964,869,872/x
  3. Step 3: Cross multiply
    927,165,072x = 1,964,869,872 × 1,964,869,872
  4. Step 4: Simplify right side
    927,165,072x = 3,860,713,613,893,296,128
  5. Step 5: Solve for x
    x = 3,860,713,613,893,296,128/927,165,072
  6. Step 6: Final answer
    x = 4,163,998,116.93

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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.