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Finding the Third Proportional to 1,935,158,796 and 2,988,287,199

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Solution

The third proportional to 1,935,158,796 and 2,988,287,199 is: 4,614,536,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935,158,796 : 2,988,287,199 = 2,988,287,199 : x
  2. Step 2: Convert to fraction form
    1,935,158,796/2,988,287,199 = 2,988,287,199/x
  3. Step 3: Cross multiply
    1,935,158,796x = 2,988,287,199 × 2,988,287,199
  4. Step 4: Simplify right side
    1,935,158,796x = 8,929,860,383,707,266,048
  5. Step 5: Solve for x
    x = 8,929,860,383,707,266,048/1,935,158,796
  6. Step 6: Final answer
    x = 4,614,536,234.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.