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Finding the Third Proportional to 905,506,884 and 1,940,212,872

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Solution

The third proportional to 905,506,884 and 1,940,212,872 is: 4,157,258,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,506,884 : 1,940,212,872 = 1,940,212,872 : x
  2. Step 2: Convert to fraction form
    905,506,884/1,940,212,872 = 1,940,212,872/x
  3. Step 3: Cross multiply
    905,506,884x = 1,940,212,872 × 1,940,212,872
  4. Step 4: Simplify right side
    905,506,884x = 3,764,425,988,674,488,320
  5. Step 5: Solve for x
    x = 3,764,425,988,674,488,320/905,506,884
  6. Step 6: Final answer
    x = 4,157,258,277.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.