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Finding the Third Proportional to 7,652,179,131,402 and 16,864,116,060,200

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Solution

The third proportional to 7,652,179,131,402 and 16,864,116,060,200 is: 37,165,676,026,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652,179,131,402 : 16,864,116,060,200 = 16,864,116,060,200 : x
  2. Step 2: Convert to fraction form
    7,652,179,131,402/16,864,116,060,200 = 16,864,116,060,200/x
  3. Step 3: Cross multiply
    7,652,179,131,402x = 16,864,116,060,200 × 16,864,116,060,200
  4. Step 4: Simplify right side
    7,652,179,131,402x = 284,398,410,491,895,557,193,203,712
  5. Step 5: Solve for x
    x = 284,398,410,491,895,557,193,203,712/7,652,179,131,402
  6. Step 6: Final answer
    x = 37,165,676,026,168.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.