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Finding the Third Proportional to 8,831,211,964 and 17,921,924,599

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Solution

The third proportional to 8,831,211,964 and 17,921,924,599 is: 36,370,475,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831,211,964 : 17,921,924,599 = 17,921,924,599 : x
  2. Step 2: Convert to fraction form
    8,831,211,964/17,921,924,599 = 17,921,924,599/x
  3. Step 3: Cross multiply
    8,831,211,964x = 17,921,924,599 × 17,921,924,599
  4. Step 4: Simplify right side
    8,831,211,964x = 321,195,381,332,241,285,120
  5. Step 5: Solve for x
    x = 321,195,381,332,241,285,120/8,831,211,964
  6. Step 6: Final answer
    x = 36,370,475,835.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.