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Finding the Third Proportional to 43,014,514.50 and 65,756,123

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Solution

The third proportional to 43,014,514.50 and 65,756,123 is: 100,521,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,014,514.50 : 65,756,123 = 65,756,123 : x
  2. Step 2: Convert to fraction form
    43,014,514.50/65,756,123 = 65,756,123/x
  3. Step 3: Cross multiply
    43,014,514.50x = 65,756,123 × 65,756,123
  4. Step 4: Simplify right side
    43,014,514.50x = 4,323,867,711,991,129
  5. Step 5: Solve for x
    x = 4,323,867,711,991,129/43,014,514.50
  6. Step 6: Final answer
    x = 100,521,132.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.