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Finding the Third Proportional to 1,676,478,710 and 3,526,691,242

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Solution

The third proportional to 1,676,478,710 and 3,526,691,242 is: 7,418,854,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,478,710 : 3,526,691,242 = 3,526,691,242 : x
  2. Step 2: Convert to fraction form
    1,676,478,710/3,526,691,242 = 3,526,691,242/x
  3. Step 3: Cross multiply
    1,676,478,710x = 3,526,691,242 × 3,526,691,242
  4. Step 4: Simplify right side
    1,676,478,710x = 12,437,551,116,399,503,360
  5. Step 5: Solve for x
    x = 12,437,551,116,399,503,360/1,676,478,710
  6. Step 6: Final answer
    x = 7,418,854,198.51

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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.