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Finding the Third Proportional to 694,560,825 and 1,446,281,082

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Solution

The third proportional to 694,560,825 and 1,446,281,082 is: 3,011,585,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,560,825 : 1,446,281,082 = 1,446,281,082 : x
  2. Step 2: Convert to fraction form
    694,560,825/1,446,281,082 = 1,446,281,082/x
  3. Step 3: Cross multiply
    694,560,825x = 1,446,281,082 × 1,446,281,082
  4. Step 4: Simplify right side
    694,560,825x = 2,091,728,968,151,090,688
  5. Step 5: Solve for x
    x = 2,091,728,968,151,090,688/694,560,825
  6. Step 6: Final answer
    x = 3,011,585,008.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.