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Finding the Third Proportional to 912,677,844 and 1,992,601,848

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Solution

The third proportional to 912,677,844 and 1,992,601,848 is: 4,350,343,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,677,844 : 1,992,601,848 = 1,992,601,848 : x
  2. Step 2: Convert to fraction form
    912,677,844/1,992,601,848 = 1,992,601,848/x
  3. Step 3: Cross multiply
    912,677,844x = 1,992,601,848 × 1,992,601,848
  4. Step 4: Simplify right side
    912,677,844x = 3,970,462,124,653,015,040
  5. Step 5: Solve for x
    x = 3,970,462,124,653,015,040/912,677,844
  6. Step 6: Final answer
    x = 4,350,343,498.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.