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Finding the Third Proportional to 78,763,919,035 and 169,473,840,815

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Solution

The third proportional to 78,763,919,035 and 169,473,840,815 is: 364,651,519,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,763,919,035 : 169,473,840,815 = 169,473,840,815 : x
  2. Step 2: Convert to fraction form
    78,763,919,035/169,473,840,815 = 169,473,840,815/x
  3. Step 3: Cross multiply
    78,763,919,035x = 169,473,840,815 × 169,473,840,815
  4. Step 4: Simplify right side
    78,763,919,035x = 28,721,382,720,587,960,418,304
  5. Step 5: Solve for x
    x = 28,721,382,720,587,960,418,304/78,763,919,035
  6. Step 6: Final answer
    x = 364,651,519,026.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.