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Finding the Third Proportional to 3,972,056,484 and 8,428,288,938

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Solution

The third proportional to 3,972,056,484 and 8,428,288,938 is: 17,883,948,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972,056,484 : 8,428,288,938 = 8,428,288,938 : x
  2. Step 2: Convert to fraction form
    3,972,056,484/8,428,288,938 = 8,428,288,938/x
  3. Step 3: Cross multiply
    3,972,056,484x = 8,428,288,938 × 8,428,288,938
  4. Step 4: Simplify right side
    3,972,056,484x = 71,036,054,422,413,164,544
  5. Step 5: Solve for x
    x = 71,036,054,422,413,164,544/3,972,056,484
  6. Step 6: Final answer
    x = 17,883,948,707.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.