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Finding the Third Proportional to 4,744,608,206.50 and 9,881,924,733

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Solution

The third proportional to 4,744,608,206.50 and 9,881,924,733 is: 20,581,770,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,608,206.50 : 9,881,924,733 = 9,881,924,733 : x
  2. Step 2: Convert to fraction form
    4,744,608,206.50/9,881,924,733 = 9,881,924,733/x
  3. Step 3: Cross multiply
    4,744,608,206.50x = 9,881,924,733 × 9,881,924,733
  4. Step 4: Simplify right side
    4,744,608,206.50x = 97,652,436,428,677,120,000
  5. Step 5: Solve for x
    x = 97,652,436,428,677,120,000/4,744,608,206.50
  6. Step 6: Final answer
    x = 20,581,770,333.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.