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Finding the Third Proportional to 11,644,817,296 and 16,652,216,852

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Solution

The third proportional to 11,644,817,296 and 16,652,216,852 is: 23,812,853,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644,817,296 : 16,652,216,852 = 16,652,216,852 : x
  2. Step 2: Convert to fraction form
    11,644,817,296/16,652,216,852 = 16,652,216,852/x
  3. Step 3: Cross multiply
    11,644,817,296x = 16,652,216,852 × 16,652,216,852
  4. Step 4: Simplify right side
    11,644,817,296x = 277,296,326,086,032,785,408
  5. Step 5: Solve for x
    x = 277,296,326,086,032,785,408/11,644,817,296
  6. Step 6: Final answer
    x = 23,812,853,309.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.