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Finding the Third Proportional to 17,996,823 and 38,724,798.94

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Solution

The third proportional to 17,996,823 and 38,724,798.94 is: 83,326,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996,823 : 38,724,798.94 = 38,724,798.94 : x
  2. Step 2: Convert to fraction form
    17,996,823/38,724,798.94 = 38,724,798.94/x
  3. Step 3: Cross multiply
    17,996,823x = 38,724,798.94 × 38,724,798.94
  4. Step 4: Simplify right side
    17,996,823x = 1,499,610,052,749,801.25
  5. Step 5: Solve for x
    x = 1,499,610,052,749,801.25/17,996,823
  6. Step 6: Final answer
    x = 83,326,376.70

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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.