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Finding the Third Proportional to 225,301,127,462 and 477,463,408,824

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Solution

The third proportional to 225,301,127,462 and 477,463,408,824 is: 1,011,851,602,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,301,127,462 : 477,463,408,824 = 477,463,408,824 : x
  2. Step 2: Convert to fraction form
    225,301,127,462/477,463,408,824 = 477,463,408,824/x
  3. Step 3: Cross multiply
    225,301,127,462x = 477,463,408,824 × 477,463,408,824
  4. Step 4: Simplify right side
    225,301,127,462x = 227,971,306,765,834,151,526,400
  5. Step 5: Solve for x
    x = 227,971,306,765,834,151,526,400/225,301,127,462
  6. Step 6: Final answer
    x = 1,011,851,602,048.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.