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Finding the Third Proportional to 689,050,429.50 and 1,512,023,613

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Solution

The third proportional to 689,050,429.50 and 1,512,023,613 is: 3,317,921,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,050,429.50 : 1,512,023,613 = 1,512,023,613 : x
  2. Step 2: Convert to fraction form
    689,050,429.50/1,512,023,613 = 1,512,023,613/x
  3. Step 3: Cross multiply
    689,050,429.50x = 1,512,023,613 × 1,512,023,613
  4. Step 4: Simplify right side
    689,050,429.50x = 2,286,215,406,269,573,888
  5. Step 5: Solve for x
    x = 2,286,215,406,269,573,888/689,050,429.50
  6. Step 6: Final answer
    x = 3,317,921,749.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.