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Finding the Third Proportional to 50,136,418,608 and 75,849,450,952

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Solution

The third proportional to 50,136,418,608 and 75,849,450,952 is: 114,749,704,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,136,418,608 : 75,849,450,952 = 75,849,450,952 : x
  2. Step 2: Convert to fraction form
    50,136,418,608/75,849,450,952 = 75,849,450,952/x
  3. Step 3: Cross multiply
    50,136,418,608x = 75,849,450,952 × 75,849,450,952
  4. Step 4: Simplify right side
    50,136,418,608x = 5,753,139,209,719,853,875,200
  5. Step 5: Solve for x
    x = 5,753,139,209,719,853,875,200/50,136,418,608
  6. Step 6: Final answer
    x = 114,749,704,295.83

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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.