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Finding the Third Proportional to 21,537,489.94 and 46,102,402.97

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Solution

The third proportional to 21,537,489.94 and 46,102,402.97 is: 98,685,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537,489.94 : 46,102,402.97 = 46,102,402.97 : x
  2. Step 2: Convert to fraction form
    21,537,489.94/46,102,402.97 = 46,102,402.97/x
  3. Step 3: Cross multiply
    21,537,489.94x = 46,102,402.97 × 46,102,402.97
  4. Step 4: Simplify right side
    21,537,489.94x = 2,125,431,559,493,008.75
  5. Step 5: Solve for x
    x = 2,125,431,559,493,008.75/21,537,489.94
  6. Step 6: Final answer
    x = 98,685,202.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.