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Finding the Third Proportional to 815,608,032 and 1,208,123,076

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Solution

The third proportional to 815,608,032 and 1,208,123,076 is: 1,789,537,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,608,032 : 1,208,123,076 = 1,208,123,076 : x
  2. Step 2: Convert to fraction form
    815,608,032/1,208,123,076 = 1,208,123,076/x
  3. Step 3: Cross multiply
    815,608,032x = 1,208,123,076 × 1,208,123,076
  4. Step 4: Simplify right side
    815,608,032x = 1,459,561,366,763,701,760
  5. Step 5: Solve for x
    x = 1,459,561,366,763,701,760/815,608,032
  6. Step 6: Final answer
    x = 1,789,537,755.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.