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Finding the Third Proportional to 340,956,729 and 736,393,086

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Solution

The third proportional to 340,956,729 and 736,393,086 is: 1,590,450,432.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,956,729 : 736,393,086 = 736,393,086 : x
  2. Step 2: Convert to fraction form
    340,956,729/736,393,086 = 736,393,086/x
  3. Step 3: Cross multiply
    340,956,729x = 736,393,086 × 736,393,086
  4. Step 4: Simplify right side
    340,956,729x = 542,274,777,108,603,392
  5. Step 5: Solve for x
    x = 542,274,777,108,603,392/340,956,729
  6. Step 6: Final answer
    x = 1,590,450,432.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.