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Finding the Third Proportional to 3,904,921,184 and 5,948,743,964

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Solution

The third proportional to 3,904,921,184 and 5,948,743,964 is: 9,062,296,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904,921,184 : 5,948,743,964 = 5,948,743,964 : x
  2. Step 2: Convert to fraction form
    3,904,921,184/5,948,743,964 = 5,948,743,964/x
  3. Step 3: Cross multiply
    3,904,921,184x = 5,948,743,964 × 5,948,743,964
  4. Step 4: Simplify right side
    3,904,921,184x = 35,387,554,749,226,434,560
  5. Step 5: Solve for x
    x = 35,387,554,749,226,434,560/3,904,921,184
  6. Step 6: Final answer
    x = 9,062,296,799.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.