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Finding the Third Proportional to 35,284,715 and 76,432,657

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Solution

The third proportional to 35,284,715 and 76,432,657 is: 165,566,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,284,715 : 76,432,657 = 76,432,657 : x
  2. Step 2: Convert to fraction form
    35,284,715/76,432,657 = 76,432,657/x
  3. Step 3: Cross multiply
    35,284,715x = 76,432,657 × 76,432,657
  4. Step 4: Simplify right side
    35,284,715x = 5,841,951,056,079,649
  5. Step 5: Solve for x
    x = 5,841,951,056,079,649/35,284,715
  6. Step 6: Final answer
    x = 165,566,054.77

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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.