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Finding the Third Proportional to 1,187,833,056 and 1,797,037,848

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Solution

The third proportional to 1,187,833,056 and 1,797,037,848 is: 2,718,685,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,833,056 : 1,797,037,848 = 1,797,037,848 : x
  2. Step 2: Convert to fraction form
    1,187,833,056/1,797,037,848 = 1,797,037,848/x
  3. Step 3: Cross multiply
    1,187,833,056x = 1,797,037,848 × 1,797,037,848
  4. Step 4: Simplify right side
    1,187,833,056x = 3,229,345,027,144,471,040
  5. Step 5: Solve for x
    x = 3,229,345,027,144,471,040/1,187,833,056
  6. Step 6: Final answer
    x = 2,718,685,938.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.