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Finding the Third Proportional to 1,034,744,726,832 and 2,264,554,473,544

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Solution

The third proportional to 1,034,744,726,832 and 2,264,554,473,544 is: 4,956,011,691,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,744,726,832 : 2,264,554,473,544 = 2,264,554,473,544 : x
  2. Step 2: Convert to fraction form
    1,034,744,726,832/2,264,554,473,544 = 2,264,554,473,544/x
  3. Step 3: Cross multiply
    1,034,744,726,832x = 2,264,554,473,544 × 2,264,554,473,544
  4. Step 4: Simplify right side
    1,034,744,726,832x = 5,128,206,963,648,142,807,924,736
  5. Step 5: Solve for x
    x = 5,128,206,963,648,142,807,924,736/1,034,744,726,832
  6. Step 6: Final answer
    x = 4,956,011,691,259.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.