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Finding the Third Proportional to 469,493,051,262 and 1,016,945,975,072

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Solution

The third proportional to 469,493,051,262 and 1,016,945,975,072 is: 2,202,757,023,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,493,051,262 : 1,016,945,975,072 = 1,016,945,975,072 : x
  2. Step 2: Convert to fraction form
    469,493,051,262/1,016,945,975,072 = 1,016,945,975,072/x
  3. Step 3: Cross multiply
    469,493,051,262x = 1,016,945,975,072 × 1,016,945,975,072
  4. Step 4: Simplify right side
    469,493,051,262x = 1,034,179,116,215,140,832,247,808
  5. Step 5: Solve for x
    x = 1,034,179,116,215,140,832,247,808/469,493,051,262
  6. Step 6: Final answer
    x = 2,202,757,023,634.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.