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Finding the Third Proportional to 519,434,271,945 and 1,117,041,615,675

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Solution

The third proportional to 519,434,271,945 and 1,117,041,615,675 is: 2,402,194,153,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,434,271,945 : 1,117,041,615,675 = 1,117,041,615,675 : x
  2. Step 2: Convert to fraction form
    519,434,271,945/1,117,041,615,675 = 1,117,041,615,675/x
  3. Step 3: Cross multiply
    519,434,271,945x = 1,117,041,615,675 × 1,117,041,615,675
  4. Step 4: Simplify right side
    519,434,271,945x = 1,247,781,971,149,814,526,640,128
  5. Step 5: Solve for x
    x = 1,247,781,971,149,814,526,640,128/519,434,271,945
  6. Step 6: Final answer
    x = 2,402,194,153,415.30

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