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Finding the Third Proportional to 4,744,608,192 and 9,881,924,718

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Solution

The third proportional to 4,744,608,192 and 9,881,924,718 is: 20,581,770,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744,608,192 : 9,881,924,718 = 9,881,924,718 : x
  2. Step 2: Convert to fraction form
    4,744,608,192/9,881,924,718 = 9,881,924,718/x
  3. Step 3: Cross multiply
    4,744,608,192x = 9,881,924,718 × 9,881,924,718
  4. Step 4: Simplify right side
    4,744,608,192x = 97,652,436,132,219,371,520
  5. Step 5: Solve for x
    x = 97,652,436,132,219,371,520/4,744,608,192
  6. Step 6: Final answer
    x = 20,581,770,333.93

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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.