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Finding the Third Proportional to 51,228,330,406 and 76,541,167,946

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Solution

The third proportional to 51,228,330,406 and 76,541,167,946 is: 114,361,532,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228,330,406 : 76,541,167,946 = 76,541,167,946 : x
  2. Step 2: Convert to fraction form
    51,228,330,406/76,541,167,946 = 76,541,167,946/x
  3. Step 3: Cross multiply
    51,228,330,406x = 76,541,167,946 × 76,541,167,946
  4. Step 4: Simplify right side
    51,228,330,406x = 5,858,550,390,537,777,577,984
  5. Step 5: Solve for x
    x = 5,858,550,390,537,777,577,984/51,228,330,406
  6. Step 6: Final answer
    x = 114,361,532,849.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.