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Finding the Third Proportional to 923,914,740 and 1,924,253,468

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Solution

The third proportional to 923,914,740 and 1,924,253,468 is: 4,007,676,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,914,740 : 1,924,253,468 = 1,924,253,468 : x
  2. Step 2: Convert to fraction form
    923,914,740/1,924,253,468 = 1,924,253,468/x
  3. Step 3: Cross multiply
    923,914,740x = 1,924,253,468 × 1,924,253,468
  4. Step 4: Simplify right side
    923,914,740x = 3,702,751,409,110,027,264
  5. Step 5: Solve for x
    x = 3,702,751,409,110,027,264/923,914,740
  6. Step 6: Final answer
    x = 4,007,676,519.06

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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.