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Finding the Third Proportional to 857,174,969 and 1,860,476,530

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Solution

The third proportional to 857,174,969 and 1,860,476,530 is: 4,038,117,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,174,969 : 1,860,476,530 = 1,860,476,530 : x
  2. Step 2: Convert to fraction form
    857,174,969/1,860,476,530 = 1,860,476,530/x
  3. Step 3: Cross multiply
    857,174,969x = 1,860,476,530 × 1,860,476,530
  4. Step 4: Simplify right side
    857,174,969x = 3,461,372,918,680,840,704
  5. Step 5: Solve for x
    x = 3,461,372,918,680,840,704/857,174,969
  6. Step 6: Final answer
    x = 4,038,117,121.78

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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.