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Finding the Third Proportional to 26,030,142,825 and 36,656,177,021

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Solution

The third proportional to 26,030,142,825 and 36,656,177,021 is: 51,619,974,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,030,142,825 : 36,656,177,021 = 36,656,177,021 : x
  2. Step 2: Convert to fraction form
    26,030,142,825/36,656,177,021 = 36,656,177,021/x
  3. Step 3: Cross multiply
    26,030,142,825x = 36,656,177,021 × 36,656,177,021
  4. Step 4: Simplify right side
    26,030,142,825x = 1,343,675,313,794,888,499,200
  5. Step 5: Solve for x
    x = 1,343,675,313,794,888,499,200/26,030,142,825
  6. Step 6: Final answer
    x = 51,619,974,689.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.