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Finding the Third Proportional to 77,596,949 and 107,892,367

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Solution

The third proportional to 77,596,949 and 107,892,367 is: 150,015,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,596,949 : 107,892,367 = 107,892,367 : x
  2. Step 2: Convert to fraction form
    77,596,949/107,892,367 = 107,892,367/x
  3. Step 3: Cross multiply
    77,596,949x = 107,892,367 × 107,892,367
  4. Step 4: Simplify right side
    77,596,949x = 11,640,762,856,862,688
  5. Step 5: Solve for x
    x = 11,640,762,856,862,688/77,596,949
  6. Step 6: Final answer
    x = 150,015,728.80

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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.