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Finding the Third Proportional to 1,212,927,348 and 1,863,204,768

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Solution

The third proportional to 1,212,927,348 and 1,863,204,768 is: 2,862,110,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,927,348 : 1,863,204,768 = 1,863,204,768 : x
  2. Step 2: Convert to fraction form
    1,212,927,348/1,863,204,768 = 1,863,204,768/x
  3. Step 3: Cross multiply
    1,212,927,348x = 1,863,204,768 × 1,863,204,768
  4. Step 4: Simplify right side
    1,212,927,348x = 3,471,532,007,497,933,824
  5. Step 5: Solve for x
    x = 3,471,532,007,497,933,824/1,212,927,348
  6. Step 6: Final answer
    x = 2,862,110,425.02

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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.