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Finding the Third Proportional to 1,298,060,283 and 2,792,945,679

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Solution

The third proportional to 1,298,060,283 and 2,792,945,679 is: 6,009,386,211.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,060,283 : 2,792,945,679 = 2,792,945,679 : x
  2. Step 2: Convert to fraction form
    1,298,060,283/2,792,945,679 = 2,792,945,679/x
  3. Step 3: Cross multiply
    1,298,060,283x = 2,792,945,679 × 2,792,945,679
  4. Step 4: Simplify right side
    1,298,060,283x = 7,800,545,565,844,770,816
  5. Step 5: Solve for x
    x = 7,800,545,565,844,770,816/1,298,060,283
  6. Step 6: Final answer
    x = 6,009,386,211.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.