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Finding the Third Proportional to 17,733,078 and 38,201,724

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Solution

The third proportional to 17,733,078 and 38,201,724 is: 82,296,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733,078 : 38,201,724 = 38,201,724 : x
  2. Step 2: Convert to fraction form
    17,733,078/38,201,724 = 38,201,724/x
  3. Step 3: Cross multiply
    17,733,078x = 38,201,724 × 38,201,724
  4. Step 4: Simplify right side
    17,733,078x = 1,459,371,716,572,176
  5. Step 5: Solve for x
    x = 1,459,371,716,572,176/17,733,078
  6. Step 6: Final answer
    x = 82,296,582.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.