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Finding the Third Proportional to 612,796,974.75 and 1,269,197,488.13

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Solution

The third proportional to 612,796,974.75 and 1,269,197,488.13 is: 2,628,704,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,796,974.75 : 1,269,197,488.13 = 1,269,197,488.13 : x
  2. Step 2: Convert to fraction form
    612,796,974.75/1,269,197,488.13 = 1,269,197,488.13/x
  3. Step 3: Cross multiply
    612,796,974.75x = 1,269,197,488.13 × 1,269,197,488.13
  4. Step 4: Simplify right side
    612,796,974.75x = 1,610,862,263,862,809,600
  5. Step 5: Solve for x
    x = 1,610,862,263,862,809,600/612,796,974.75
  6. Step 6: Final answer
    x = 2,628,704,661.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.