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Finding the Third Proportional to 13,160,035.50 and 20,457,714

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Solution

The third proportional to 13,160,035.50 and 20,457,714 is: 31,802,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160,035.50 : 20,457,714 = 20,457,714 : x
  2. Step 2: Convert to fraction form
    13,160,035.50/20,457,714 = 20,457,714/x
  3. Step 3: Cross multiply
    13,160,035.50x = 20,457,714 × 20,457,714
  4. Step 4: Simplify right side
    13,160,035.50x = 418,518,062,105,796
  5. Step 5: Solve for x
    x = 418,518,062,105,796/13,160,035.50
  6. Step 6: Final answer
    x = 31,802,198.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.