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Finding the Third Proportional to 1,538,031,888 and 2,383,043,652

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Solution

The third proportional to 1,538,031,888 and 2,383,043,652 is: 3,692,314,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,031,888 : 2,383,043,652 = 2,383,043,652 : x
  2. Step 2: Convert to fraction form
    1,538,031,888/2,383,043,652 = 2,383,043,652/x
  3. Step 3: Cross multiply
    1,538,031,888x = 2,383,043,652 × 2,383,043,652
  4. Step 4: Simplify right side
    1,538,031,888x = 5,678,897,047,337,497,600
  5. Step 5: Solve for x
    x = 5,678,897,047,337,497,600/1,538,031,888
  6. Step 6: Final answer
    x = 3,692,314,243.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.