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Finding the Third Proportional to 50,136,418,612 and 75,849,450,958

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Solution

The third proportional to 50,136,418,612 and 75,849,450,958 is: 114,749,704,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,136,418,612 : 75,849,450,958 = 75,849,450,958 : x
  2. Step 2: Convert to fraction form
    50,136,418,612/75,849,450,958 = 75,849,450,958/x
  3. Step 3: Cross multiply
    50,136,418,612x = 75,849,450,958 × 75,849,450,958
  4. Step 4: Simplify right side
    50,136,418,612x = 5,753,139,210,630,047,203,328
  5. Step 5: Solve for x
    x = 5,753,139,210,630,047,203,328/50,136,418,612
  6. Step 6: Final answer
    x = 114,749,704,304.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.