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Finding the Third Proportional to 836,758,895 and 1,824,181,474

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Solution

The third proportional to 836,758,895 and 1,824,181,474 is: 3,976,818,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,758,895 : 1,824,181,474 = 1,824,181,474 : x
  2. Step 2: Convert to fraction form
    836,758,895/1,824,181,474 = 1,824,181,474/x
  3. Step 3: Cross multiply
    836,758,895x = 1,824,181,474 × 1,824,181,474
  4. Step 4: Simplify right side
    836,758,895x = 3,327,638,050,084,812,800
  5. Step 5: Solve for x
    x = 3,327,638,050,084,812,800/836,758,895
  6. Step 6: Final answer
    x = 3,976,818,256.69

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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.