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Finding the Third Proportional to 836,758,888 and 1,824,181,461

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Solution

The third proportional to 836,758,888 and 1,824,181,461 is: 3,976,818,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,758,888 : 1,824,181,461 = 1,824,181,461 : x
  2. Step 2: Convert to fraction form
    836,758,888/1,824,181,461 = 1,824,181,461/x
  3. Step 3: Cross multiply
    836,758,888x = 1,824,181,461 × 1,824,181,461
  4. Step 4: Simplify right side
    836,758,888x = 3,327,638,002,656,094,720
  5. Step 5: Solve for x
    x = 3,327,638,002,656,094,720/836,758,888
  6. Step 6: Final answer
    x = 3,976,818,233.28

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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.