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Finding the Third Proportional to 1,605,296,534 and 2,455,923,958

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Solution

The third proportional to 1,605,296,534 and 2,455,923,958 is: 3,757,288,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,296,534 : 2,455,923,958 = 2,455,923,958 : x
  2. Step 2: Convert to fraction form
    1,605,296,534/2,455,923,958 = 2,455,923,958/x
  3. Step 3: Cross multiply
    1,605,296,534x = 2,455,923,958 × 2,455,923,958
  4. Step 4: Simplify right side
    1,605,296,534x = 6,031,562,487,478,385,664
  5. Step 5: Solve for x
    x = 6,031,562,487,478,385,664/1,605,296,534
  6. Step 6: Final answer
    x = 3,757,288,675.16

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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.