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Finding the Third Proportional to 51,369,364 and 77,489,504

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Solution

The third proportional to 51,369,364 and 77,489,504 is: 116,891,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,369,364 : 77,489,504 = 77,489,504 : x
  2. Step 2: Convert to fraction form
    51,369,364/77,489,504 = 77,489,504/x
  3. Step 3: Cross multiply
    51,369,364x = 77,489,504 × 77,489,504
  4. Step 4: Simplify right side
    51,369,364x = 6,004,623,230,166,016
  5. Step 5: Solve for x
    x = 6,004,623,230,166,016/51,369,364
  6. Step 6: Final answer
    x = 116,891,134.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.