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Finding the Third Proportional to 1,211,376,989 and 2,629,496,981

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Solution

The third proportional to 1,211,376,989 and 2,629,496,981 is: 5,707,764,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,376,989 : 2,629,496,981 = 2,629,496,981 : x
  2. Step 2: Convert to fraction form
    1,211,376,989/2,629,496,981 = 2,629,496,981/x
  3. Step 3: Cross multiply
    1,211,376,989x = 2,629,496,981 × 2,629,496,981
  4. Step 4: Simplify right side
    1,211,376,989x = 6,914,254,373,088,114,688
  5. Step 5: Solve for x
    x = 6,914,254,373,088,114,688/1,211,376,989
  6. Step 6: Final answer
    x = 5,707,764,334.20

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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.