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Finding the Third Proportional to 35,770,019 and 77,482,471

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Solution

The third proportional to 35,770,019 and 77,482,471 is: 167,837,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770,019 : 77,482,471 = 77,482,471 : x
  2. Step 2: Convert to fraction form
    35,770,019/77,482,471 = 77,482,471/x
  3. Step 3: Cross multiply
    35,770,019x = 77,482,471 × 77,482,471
  4. Step 4: Simplify right side
    35,770,019x = 6,003,533,312,265,841
  5. Step 5: Solve for x
    x = 6,003,533,312,265,841/35,770,019
  6. Step 6: Final answer
    x = 167,837,017.71

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