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Finding the Third Proportional to 706,192,051.50 and 969,408,895.50

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Solution

The third proportional to 706,192,051.50 and 969,408,895.50 is: 1,330,733,763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,192,051.50 : 969,408,895.50 = 969,408,895.50 : x
  2. Step 2: Convert to fraction form
    706,192,051.50/969,408,895.50 = 969,408,895.50/x
  3. Step 3: Cross multiply
    706,192,051.50x = 969,408,895.50 × 969,408,895.50
  4. Step 4: Simplify right side
    706,192,051.50x = 939,753,606,674,529,920
  5. Step 5: Solve for x
    x = 939,753,606,674,529,920/706,192,051.50
  6. Step 6: Final answer
    x = 1,330,733,763.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.