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Finding the Third Proportional to 612,797,710.50 and 1,269,198,946.13

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Solution

The third proportional to 612,797,710.50 and 1,269,198,946.13 is: 2,628,707,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,797,710.50 : 1,269,198,946.13 = 1,269,198,946.13 : x
  2. Step 2: Convert to fraction form
    612,797,710.50/1,269,198,946.13 = 1,269,198,946.13/x
  3. Step 3: Cross multiply
    612,797,710.50x = 1,269,198,946.13 × 1,269,198,946.13
  4. Step 4: Simplify right side
    612,797,710.50x = 1,610,865,964,844,810,752
  5. Step 5: Solve for x
    x = 1,610,865,964,844,810,752/612,797,710.50
  6. Step 6: Final answer
    x = 2,628,707,544.50

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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.