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Finding the Third Proportional to 15,886,517,364 and 34,565,490,618.33

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Solution

The third proportional to 15,886,517,364 and 34,565,490,618.33 is: 75,206,737,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,886,517,364 : 34,565,490,618.33 = 34,565,490,618.33 : x
  2. Step 2: Convert to fraction form
    15,886,517,364/34,565,490,618.33 = 34,565,490,618.33/x
  3. Step 3: Cross multiply
    15,886,517,364x = 34,565,490,618.33 × 34,565,490,618.33
  4. Step 4: Simplify right side
    15,886,517,364x = 1,194,773,141,685,652,160,512
  5. Step 5: Solve for x
    x = 1,194,773,141,685,652,160,512/15,886,517,364
  6. Step 6: Final answer
    x = 75,206,737,531.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.