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Finding the Third Proportional to 857,174,976 and 1,860,476,544

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Solution

The third proportional to 857,174,976 and 1,860,476,544 is: 4,038,117,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,174,976 : 1,860,476,544 = 1,860,476,544 : x
  2. Step 2: Convert to fraction form
    857,174,976/1,860,476,544 = 1,860,476,544/x
  3. Step 3: Cross multiply
    857,174,976x = 1,860,476,544 × 1,860,476,544
  4. Step 4: Simplify right side
    857,174,976x = 3,461,372,970,774,183,936
  5. Step 5: Solve for x
    x = 3,461,372,970,774,183,936/857,174,976
  6. Step 6: Final answer
    x = 4,038,117,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.