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Finding the Third Proportional to 35,770,026 and 77,482,485

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Solution

The third proportional to 35,770,026 and 77,482,485 is: 167,837,045.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770,026 : 77,482,485 = 77,482,485 : x
  2. Step 2: Convert to fraction form
    35,770,026/77,482,485 = 77,482,485/x
  3. Step 3: Cross multiply
    35,770,026x = 77,482,485 × 77,482,485
  4. Step 4: Simplify right side
    35,770,026x = 6,003,535,481,775,225
  5. Step 5: Solve for x
    x = 6,003,535,481,775,225/35,770,026
  6. Step 6: Final answer
    x = 167,837,045.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.