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Finding the Third Proportional to 1,791,665,811 and 2,781,829,518

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Solution

The third proportional to 1,791,665,811 and 2,781,829,518 is: 4,319,206,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,665,811 : 2,781,829,518 = 2,781,829,518 : x
  2. Step 2: Convert to fraction form
    1,791,665,811/2,781,829,518 = 2,781,829,518/x
  3. Step 3: Cross multiply
    1,791,665,811x = 2,781,829,518 × 2,781,829,518
  4. Step 4: Simplify right side
    1,791,665,811x = 7,738,575,467,216,112,640
  5. Step 5: Solve for x
    x = 7,738,575,467,216,112,640/1,791,665,811
  6. Step 6: Final answer
    x = 4,319,206,974.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.