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Finding the Third Proportional to 706,191,948 and 969,408,742.50

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Solution

The third proportional to 706,191,948 and 969,408,742.50 is: 1,330,733,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,191,948 : 969,408,742.50 = 969,408,742.50 : x
  2. Step 2: Convert to fraction form
    706,191,948/969,408,742.50 = 969,408,742.50/x
  3. Step 3: Cross multiply
    706,191,948x = 969,408,742.50 × 969,408,742.50
  4. Step 4: Simplify right side
    706,191,948x = 939,753,310,035,431,296
  5. Step 5: Solve for x
    x = 939,753,310,035,431,296/706,191,948
  6. Step 6: Final answer
    x = 1,330,733,538.80

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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.