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Finding the Third Proportional to 836,758,947.38 and 1,824,181,630.88

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Solution

The third proportional to 836,758,947.38 and 1,824,181,630.88 is: 3,976,818,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,758,947.38 : 1,824,181,630.88 = 1,824,181,630.88 : x
  2. Step 2: Convert to fraction form
    836,758,947.38/1,824,181,630.88 = 1,824,181,630.88/x
  3. Step 3: Cross multiply
    836,758,947.38x = 1,824,181,630.88 × 1,824,181,630.88
  4. Step 4: Simplify right side
    836,758,947.38x = 3,327,638,622,421,774,848
  5. Step 5: Solve for x
    x = 3,327,638,622,421,774,848/836,758,947.38
  6. Step 6: Final answer
    x = 3,976,818,691.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.