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Finding the Third Proportional to 6,611,908,194 and 14,386,030,956

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Solution

The third proportional to 6,611,908,194 and 14,386,030,956 is: 31,300,780,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611,908,194 : 14,386,030,956 = 14,386,030,956 : x
  2. Step 2: Convert to fraction form
    6,611,908,194/14,386,030,956 = 14,386,030,956/x
  3. Step 3: Cross multiply
    6,611,908,194x = 14,386,030,956 × 14,386,030,956
  4. Step 4: Simplify right side
    6,611,908,194x = 206,957,886,666,990,288,896
  5. Step 5: Solve for x
    x = 206,957,886,666,990,288,896/6,611,908,194
  6. Step 6: Final answer
    x = 31,300,780,439.57

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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.