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Finding the Third Proportional to 1,236,921,844 and 2,650,905,368

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Solution

The third proportional to 1,236,921,844 and 2,650,905,368 is: 5,681,279,948.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,921,844 : 2,650,905,368 = 2,650,905,368 : x
  2. Step 2: Convert to fraction form
    1,236,921,844/2,650,905,368 = 2,650,905,368/x
  3. Step 3: Cross multiply
    1,236,921,844x = 2,650,905,368 × 2,650,905,368
  4. Step 4: Simplify right side
    1,236,921,844x = 7,027,299,270,091,215,872
  5. Step 5: Solve for x
    x = 7,027,299,270,091,215,872/1,236,921,844
  6. Step 6: Final answer
    x = 5,681,279,948.43

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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.