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Finding the Third Proportional to 1,560,286,257 and 2,139,531,566

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Solution

The third proportional to 1,560,286,257 and 2,139,531,566 is: 2,933,817,625.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560,286,257 : 2,139,531,566 = 2,139,531,566 : x
  2. Step 2: Convert to fraction form
    1,560,286,257/2,139,531,566 = 2,139,531,566/x
  3. Step 3: Cross multiply
    1,560,286,257x = 2,139,531,566 × 2,139,531,566
  4. Step 4: Simplify right side
    1,560,286,257x = 4,577,595,321,910,412,288
  5. Step 5: Solve for x
    x = 4,577,595,321,910,412,288/1,560,286,257
  6. Step 6: Final answer
    x = 2,933,817,625.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.