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Finding the Third Proportional to 16,837,719.75 and 36,369,821.81

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Solution

The third proportional to 16,837,719.75 and 36,369,821.81 is: 78,559,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837,719.75 : 36,369,821.81 = 36,369,821.81 : x
  2. Step 2: Convert to fraction form
    16,837,719.75/36,369,821.81 = 36,369,821.81/x
  3. Step 3: Cross multiply
    16,837,719.75x = 36,369,821.81 × 36,369,821.81
  4. Step 4: Simplify right side
    16,837,719.75x = 1,322,763,938,673,000.75
  5. Step 5: Solve for x
    x = 1,322,763,938,673,000.75/16,837,719.75
  6. Step 6: Final answer
    x = 78,559,564.97

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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.