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Finding the Third Proportional to 9,296,480,611.50 and 19,919,226,266

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Solution

The third proportional to 9,296,480,611.50 and 19,919,226,266 is: 42,680,191,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296,480,611.50 : 19,919,226,266 = 19,919,226,266 : x
  2. Step 2: Convert to fraction form
    9,296,480,611.50/19,919,226,266 = 19,919,226,266/x
  3. Step 3: Cross multiply
    9,296,480,611.50x = 19,919,226,266 × 19,919,226,266
  4. Step 4: Simplify right side
    9,296,480,611.50x = 396,775,575,036,104,278,016
  5. Step 5: Solve for x
    x = 396,775,575,036,104,278,016/9,296,480,611.50
  6. Step 6: Final answer
    x = 42,680,191,743.24

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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.