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Finding the Third Proportional to 242,093,560 and 517,845,048

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Solution

The third proportional to 242,093,560 and 517,845,048 is: 1,107,685,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,093,560 : 517,845,048 = 517,845,048 : x
  2. Step 2: Convert to fraction form
    242,093,560/517,845,048 = 517,845,048/x
  3. Step 3: Cross multiply
    242,093,560x = 517,845,048 × 517,845,048
  4. Step 4: Simplify right side
    242,093,560x = 268,163,493,738,122,304
  5. Step 5: Solve for x
    x = 268,163,493,738,122,304/242,093,560
  6. Step 6: Final answer
    x = 1,107,685,366.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.