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Finding the Third Proportional to 3,743,150,709 and 8,110,474,053

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Solution

The third proportional to 3,743,150,709 and 8,110,474,053 is: 17,573,374,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,150,709 : 8,110,474,053 = 8,110,474,053 : x
  2. Step 2: Convert to fraction form
    3,743,150,709/8,110,474,053 = 8,110,474,053/x
  3. Step 3: Cross multiply
    3,743,150,709x = 8,110,474,053 × 8,110,474,053
  4. Step 4: Simplify right side
    3,743,150,709x = 65,779,789,364,386,250,752
  5. Step 5: Solve for x
    x = 65,779,789,364,386,250,752/3,743,150,709
  6. Step 6: Final answer
    x = 17,573,374,538.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.