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Finding the Third Proportional to 3,334,663,851 and 7,100,615,765

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Solution

The third proportional to 3,334,663,851 and 7,100,615,765 is: 15,119,588,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334,663,851 : 7,100,615,765 = 7,100,615,765 : x
  2. Step 2: Convert to fraction form
    3,334,663,851/7,100,615,765 = 7,100,615,765/x
  3. Step 3: Cross multiply
    3,334,663,851x = 7,100,615,765 × 7,100,615,765
  4. Step 4: Simplify right side
    3,334,663,851x = 50,418,744,242,166,538,240
  5. Step 5: Solve for x
    x = 50,418,744,242,166,538,240/3,334,663,851
  6. Step 6: Final answer
    x = 15,119,588,208.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.