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Finding the Third Proportional to 35,508,511.69 and 76,410,165.38

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Solution

The third proportional to 35,508,511.69 and 76,410,165.38 is: 164,425,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,508,511.69 : 76,410,165.38 = 76,410,165.38 : x
  2. Step 2: Convert to fraction form
    35,508,511.69/76,410,165.38 = 76,410,165.38/x
  3. Step 3: Cross multiply
    35,508,511.69x = 76,410,165.38 × 76,410,165.38
  4. Step 4: Simplify right side
    35,508,511.69x = 5,838,513,372,634,849
  5. Step 5: Solve for x
    x = 5,838,513,372,634,849/35,508,511.69
  6. Step 6: Final answer
    x = 164,425,741.75

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