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Finding the Third Proportional to 1,324,227,054 and 2,838,580,950

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Solution

The third proportional to 1,324,227,054 and 2,838,580,950 is: 6,084,713,180.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324,227,054 : 2,838,580,950 = 2,838,580,950 : x
  2. Step 2: Convert to fraction form
    1,324,227,054/2,838,580,950 = 2,838,580,950/x
  3. Step 3: Cross multiply
    1,324,227,054x = 2,838,580,950 × 2,838,580,950
  4. Step 4: Simplify right side
    1,324,227,054x = 8,057,541,809,702,902,784
  5. Step 5: Solve for x
    x = 8,057,541,809,702,902,784/1,324,227,054
  6. Step 6: Final answer
    x = 6,084,713,180.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.