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Finding the Third Proportional to 50,337,524 and 77,731,653

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Solution

The third proportional to 50,337,524 and 77,731,653 is: 120,033,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337,524 : 77,731,653 = 77,731,653 : x
  2. Step 2: Convert to fraction form
    50,337,524/77,731,653 = 77,731,653/x
  3. Step 3: Cross multiply
    50,337,524x = 77,731,653 × 77,731,653
  4. Step 4: Simplify right side
    50,337,524x = 6,042,209,878,112,409
  5. Step 5: Solve for x
    x = 6,042,209,878,112,409/50,337,524
  6. Step 6: Final answer
    x = 120,033,911.05

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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.