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Finding the Third Proportional to 56,675,176,584 and 131,206,507,764

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Solution

The third proportional to 56,675,176,584 and 131,206,507,764 is: 303,751,107,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,675,176,584 : 131,206,507,764 = 131,206,507,764 : x
  2. Step 2: Convert to fraction form
    56,675,176,584/131,206,507,764 = 131,206,507,764/x
  3. Step 3: Cross multiply
    56,675,176,584x = 131,206,507,764 × 131,206,507,764
  4. Step 4: Simplify right side
    56,675,176,584x = 17,215,147,679,624,592,359,424
  5. Step 5: Solve for x
    x = 17,215,147,679,624,592,359,424/56,675,176,584
  6. Step 6: Final answer
    x = 303,751,107,931.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.