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Finding the Third Proportional to 84,220,711,096 and 187,271,971,120

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Solution

The third proportional to 84,220,711,096 and 187,271,971,120 is: 416,415,282,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,220,711,096 : 187,271,971,120 = 187,271,971,120 : x
  2. Step 2: Convert to fraction form
    84,220,711,096/187,271,971,120 = 187,271,971,120/x
  3. Step 3: Cross multiply
    84,220,711,096x = 187,271,971,120 × 187,271,971,120
  4. Step 4: Simplify right side
    84,220,711,096x = 35,070,791,167,170,112,913,408
  5. Step 5: Solve for x
    x = 35,070,791,167,170,112,913,408/84,220,711,096
  6. Step 6: Final answer
    x = 416,415,282,069.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.