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Finding the Third Proportional to 35,464,138.50 and 76,586,613

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Solution

The third proportional to 35,464,138.50 and 76,586,613 is: 165,392,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464,138.50 : 76,586,613 = 76,586,613 : x
  2. Step 2: Convert to fraction form
    35,464,138.50/76,586,613 = 76,586,613/x
  3. Step 3: Cross multiply
    35,464,138.50x = 76,586,613 × 76,586,613
  4. Step 4: Simplify right side
    35,464,138.50x = 5,865,509,290,811,769
  5. Step 5: Solve for x
    x = 5,865,509,290,811,769/35,464,138.50
  6. Step 6: Final answer
    x = 165,392,690.73

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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.