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Finding the Third Proportional to 2,713,966,731 and 5,908,509,175

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Solution

The third proportional to 2,713,966,731 and 5,908,509,175 is: 12,863,267,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713,966,731 : 5,908,509,175 = 5,908,509,175 : x
  2. Step 2: Convert to fraction form
    2,713,966,731/5,908,509,175 = 5,908,509,175/x
  3. Step 3: Cross multiply
    2,713,966,731x = 5,908,509,175 × 5,908,509,175
  4. Step 4: Simplify right side
    2,713,966,731x = 34,910,480,671,059,181,568
  5. Step 5: Solve for x
    x = 34,910,480,671,059,181,568/2,713,966,731
  6. Step 6: Final answer
    x = 12,863,267,729.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.