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Finding the Third Proportional to 19,638,737,520 and 43,079,635,764

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Solution

The third proportional to 19,638,737,520 and 43,079,635,764 is: 94,499,710,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638,737,520 : 43,079,635,764 = 43,079,635,764 : x
  2. Step 2: Convert to fraction form
    19,638,737,520/43,079,635,764 = 43,079,635,764/x
  3. Step 3: Cross multiply
    19,638,737,520x = 43,079,635,764 × 43,079,635,764
  4. Step 4: Simplify right side
    19,638,737,520x = 1,855,855,017,558,907,813,888
  5. Step 5: Solve for x
    x = 1,855,855,017,558,907,813,888/19,638,737,520
  6. Step 6: Final answer
    x = 94,499,710,873.42

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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.