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Finding the Third Proportional to 51,489,786.38 and 77,713,507.27

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Solution

The third proportional to 51,489,786.38 and 77,713,507.27 is: 117,292,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489,786.38 : 77,713,507.27 = 77,713,507.27 : x
  2. Step 2: Convert to fraction form
    51,489,786.38/77,713,507.27 = 77,713,507.27/x
  3. Step 3: Cross multiply
    51,489,786.38x = 77,713,507.27 × 77,713,507.27
  4. Step 4: Simplify right side
    51,489,786.38x = 6,039,389,211,524,350
  5. Step 5: Solve for x
    x = 6,039,389,211,524,350/51,489,786.38
  6. Step 6: Final answer
    x = 117,292,955.30

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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.