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Finding the Third Proportional to 1,687,956,405,245 and 2,277,449,513,623

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Solution

The third proportional to 1,687,956,405,245 and 2,277,449,513,623 is: 3,072,814,126,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,956,405,245 : 2,277,449,513,623 = 2,277,449,513,623 : x
  2. Step 2: Convert to fraction form
    1,687,956,405,245/2,277,449,513,623 = 2,277,449,513,623/x
  3. Step 3: Cross multiply
    1,687,956,405,245x = 2,277,449,513,623 × 2,277,449,513,623
  4. Step 4: Simplify right side
    1,687,956,405,245x = 5,186,776,287,101,639,211,352,064
  5. Step 5: Solve for x
    x = 5,186,776,287,101,639,211,352,064/1,687,956,405,245
  6. Step 6: Final answer
    x = 3,072,814,126,588.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.