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Finding the Third Proportional to 6,298,169,738 and 13,531,004,876

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Solution

The third proportional to 6,298,169,738 and 13,531,004,876 is: 29,070,047,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298,169,738 : 13,531,004,876 = 13,531,004,876 : x
  2. Step 2: Convert to fraction form
    6,298,169,738/13,531,004,876 = 13,531,004,876/x
  3. Step 3: Cross multiply
    6,298,169,738x = 13,531,004,876 × 13,531,004,876
  4. Step 4: Simplify right side
    6,298,169,738x = 183,088,092,954,335,772,672
  5. Step 5: Solve for x
    x = 183,088,092,954,335,772,672/6,298,169,738
  6. Step 6: Final answer
    x = 29,070,047,421.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.