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Finding the Third Proportional to 50,751,451.50 and 76,142,730

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Solution

The third proportional to 50,751,451.50 and 76,142,730 is: 114,237,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,751,451.50 : 76,142,730 = 76,142,730 : x
  2. Step 2: Convert to fraction form
    50,751,451.50/76,142,730 = 76,142,730/x
  3. Step 3: Cross multiply
    50,751,451.50x = 76,142,730 × 76,142,730
  4. Step 4: Simplify right side
    50,751,451.50x = 5,797,715,331,852,900
  5. Step 5: Solve for x
    x = 5,797,715,331,852,900/50,751,451.50
  6. Step 6: Final answer
    x = 114,237,428.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.