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Finding the Third Proportional to 1,301,640,394 and 1,982,914,653

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Solution

The third proportional to 1,301,640,394 and 1,982,914,653 is: 3,020,765,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,640,394 : 1,982,914,653 = 1,982,914,653 : x
  2. Step 2: Convert to fraction form
    1,301,640,394/1,982,914,653 = 1,982,914,653/x
  3. Step 3: Cross multiply
    1,301,640,394x = 1,982,914,653 × 1,982,914,653
  4. Step 4: Simplify right side
    1,301,640,394x = 3,931,950,521,082,110,464
  5. Step 5: Solve for x
    x = 3,931,950,521,082,110,464/1,301,640,394
  6. Step 6: Final answer
    x = 3,020,765,596.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.