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Finding the Third Proportional to 2,526,531,512 and 5,633,993,646

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Solution

The third proportional to 2,526,531,512 and 5,633,993,646 is: 12,563,423,116.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526,531,512 : 5,633,993,646 = 5,633,993,646 : x
  2. Step 2: Convert to fraction form
    2,526,531,512/5,633,993,646 = 5,633,993,646/x
  3. Step 3: Cross multiply
    2,526,531,512x = 5,633,993,646 × 5,633,993,646
  4. Step 4: Simplify right side
    2,526,531,512x = 31,741,884,403,168,374,784
  5. Step 5: Solve for x
    x = 31,741,884,403,168,374,784/2,526,531,512
  6. Step 6: Final answer
    x = 12,563,423,116.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.