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Finding the Third Proportional to 1,270,708,081 and 1,857,296,257

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Solution

The third proportional to 1,270,708,081 and 1,857,296,257 is: 2,714,667,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,708,081 : 1,857,296,257 = 1,857,296,257 : x
  2. Step 2: Convert to fraction form
    1,270,708,081/1,857,296,257 = 1,857,296,257/x
  3. Step 3: Cross multiply
    1,270,708,081x = 1,857,296,257 × 1,857,296,257
  4. Step 4: Simplify right side
    1,270,708,081x = 3,449,549,386,266,210,304
  5. Step 5: Solve for x
    x = 3,449,549,386,266,210,304/1,270,708,081
  6. Step 6: Final answer
    x = 2,714,667,072.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.