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Finding the Third Proportional to 1,676,478,708 and 3,526,691,238

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Solution

The third proportional to 1,676,478,708 and 3,526,691,238 is: 7,418,854,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,478,708 : 3,526,691,238 = 3,526,691,238 : x
  2. Step 2: Convert to fraction form
    1,676,478,708/3,526,691,238 = 3,526,691,238/x
  3. Step 3: Cross multiply
    1,676,478,708x = 3,526,691,238 × 3,526,691,238
  4. Step 4: Simplify right side
    1,676,478,708x = 12,437,551,088,185,972,736
  5. Step 5: Solve for x
    x = 12,437,551,088,185,972,736/1,676,478,708
  6. Step 6: Final answer
    x = 7,418,854,190.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.