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Finding the Third Proportional to 767,353,857.50 and 1,664,951,827.50

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Solution

The third proportional to 767,353,857.50 and 1,664,951,827.50 is: 3,612,498,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,353,857.50 : 1,664,951,827.50 = 1,664,951,827.50 : x
  2. Step 2: Convert to fraction form
    767,353,857.50/1,664,951,827.50 = 1,664,951,827.50/x
  3. Step 3: Cross multiply
    767,353,857.50x = 1,664,951,827.50 × 1,664,951,827.50
  4. Step 4: Simplify right side
    767,353,857.50x = 2,772,064,587,895,589,888
  5. Step 5: Solve for x
    x = 2,772,064,587,895,589,888/767,353,857.50
  6. Step 6: Final answer
    x = 3,612,498,407.09

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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.