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Finding the Third Proportional to 36,202,340,243 and 77,937,525,021

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Solution

The third proportional to 36,202,340,243 and 77,937,525,021 is: 167,786,329,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202,340,243 : 77,937,525,021 = 77,937,525,021 : x
  2. Step 2: Convert to fraction form
    36,202,340,243/77,937,525,021 = 77,937,525,021/x
  3. Step 3: Cross multiply
    36,202,340,243x = 77,937,525,021 × 77,937,525,021
  4. Step 4: Simplify right side
    36,202,340,243x = 6,074,257,806,399,001,067,520
  5. Step 5: Solve for x
    x = 6,074,257,806,399,001,067,520/36,202,340,243
  6. Step 6: Final answer
    x = 167,786,329,989.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.