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Finding the Third Proportional to 77,596,960 and 107,892,382

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Solution

The third proportional to 77,596,960 and 107,892,382 is: 150,015,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,596,960 : 107,892,382 = 107,892,382 : x
  2. Step 2: Convert to fraction form
    77,596,960/107,892,382 = 107,892,382/x
  3. Step 3: Cross multiply
    77,596,960x = 107,892,382 × 107,892,382
  4. Step 4: Simplify right side
    77,596,960x = 11,640,766,093,633,924
  5. Step 5: Solve for x
    x = 11,640,766,093,633,924/77,596,960
  6. Step 6: Final answer
    x = 150,015,749.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.