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Finding the Third Proportional to 468,215,813 and 1,084,248,693

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Solution

The third proportional to 468,215,813 and 1,084,248,693 is: 2,510,797,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,215,813 : 1,084,248,693 = 1,084,248,693 : x
  2. Step 2: Convert to fraction form
    468,215,813/1,084,248,693 = 1,084,248,693/x
  3. Step 3: Cross multiply
    468,215,813x = 1,084,248,693 × 1,084,248,693
  4. Step 4: Simplify right side
    468,215,813x = 1,175,595,228,272,208,128
  5. Step 5: Solve for x
    x = 1,175,595,228,272,208,128/468,215,813
  6. Step 6: Final answer
    x = 2,510,797,789.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.