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Finding the Third Proportional to 50,337,521 and 77,731,649

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Solution

The third proportional to 50,337,521 and 77,731,649 is: 120,033,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337,521 : 77,731,649 = 77,731,649 : x
  2. Step 2: Convert to fraction form
    50,337,521/77,731,649 = 77,731,649/x
  3. Step 3: Cross multiply
    50,337,521x = 77,731,649 × 77,731,649
  4. Step 4: Simplify right side
    50,337,521x = 6,042,209,256,259,201
  5. Step 5: Solve for x
    x = 6,042,209,256,259,201/50,337,521
  6. Step 6: Final answer
    x = 120,033,905.85

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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.