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Finding the Third Proportional to 35,284,709.13 and 76,432,645.63

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Solution

The third proportional to 35,284,709.13 and 76,432,645.63 is: 165,566,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,284,709.13 : 76,432,645.63 = 76,432,645.63 : x
  2. Step 2: Convert to fraction form
    35,284,709.13/76,432,645.63 = 76,432,645.63/x
  3. Step 3: Cross multiply
    35,284,709.13x = 76,432,645.63 × 76,432,645.63
  4. Step 4: Simplify right side
    35,284,709.13x = 5,841,949,317,236,832
  5. Step 5: Solve for x
    x = 5,841,949,317,236,832/35,284,709.13
  6. Step 6: Final answer
    x = 165,566,033.05

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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.