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Finding the Third Proportional to 1,738,756,444 and 2,601,241,234

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Solution

The third proportional to 1,738,756,444 and 2,601,241,234 is: 3,891,549,032.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,756,444 : 2,601,241,234 = 2,601,241,234 : x
  2. Step 2: Convert to fraction form
    1,738,756,444/2,601,241,234 = 2,601,241,234/x
  3. Step 3: Cross multiply
    1,738,756,444x = 2,601,241,234 × 2,601,241,234
  4. Step 4: Simplify right side
    1,738,756,444x = 6,766,455,957,461,842,944
  5. Step 5: Solve for x
    x = 6,766,455,957,461,842,944/1,738,756,444
  6. Step 6: Final answer
    x = 3,891,549,032.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.