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Finding the Third Proportional to 50,337,519 and 77,731,645

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Solution

The third proportional to 50,337,519 and 77,731,645 is: 120,033,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337,519 : 77,731,645 = 77,731,645 : x
  2. Step 2: Convert to fraction form
    50,337,519/77,731,645 = 77,731,645/x
  3. Step 3: Cross multiply
    50,337,519x = 77,731,645 × 77,731,645
  4. Step 4: Simplify right side
    50,337,519x = 6,042,208,634,406,025
  5. Step 5: Solve for x
    x = 6,042,208,634,406,025/50,337,519
  6. Step 6: Final answer
    x = 120,033,898.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.