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Finding the Third Proportional to 469,493,051,260 and 1,016,945,975,068

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Solution

The third proportional to 469,493,051,260 and 1,016,945,975,068 is: 2,202,757,023,626.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,493,051,260 : 1,016,945,975,068 = 1,016,945,975,068 : x
  2. Step 2: Convert to fraction form
    469,493,051,260/1,016,945,975,068 = 1,016,945,975,068/x
  3. Step 3: Cross multiply
    469,493,051,260x = 1,016,945,975,068 × 1,016,945,975,068
  4. Step 4: Simplify right side
    469,493,051,260x = 1,034,179,116,207,005,224,665,088
  5. Step 5: Solve for x
    x = 1,034,179,116,207,005,224,665,088/469,493,051,260
  6. Step 6: Final answer
    x = 2,202,757,023,626.93

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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.