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Finding the Third Proportional to 1,605,296,538 and 2,455,923,964

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Solution

The third proportional to 1,605,296,538 and 2,455,923,964 is: 3,757,288,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,296,538 : 2,455,923,964 = 2,455,923,964 : x
  2. Step 2: Convert to fraction form
    1,605,296,538/2,455,923,964 = 2,455,923,964/x
  3. Step 3: Cross multiply
    1,605,296,538x = 2,455,923,964 × 2,455,923,964
  4. Step 4: Simplify right side
    1,605,296,538x = 6,031,562,516,949,473,280
  5. Step 5: Solve for x
    x = 6,031,562,516,949,473,280/1,605,296,538
  6. Step 6: Final answer
    x = 3,757,288,684.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.