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Finding the Third Proportional to 10,201,217 and 21,553,757.50

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Solution

The third proportional to 10,201,217 and 21,553,757.50 is: 45,540,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201,217 : 21,553,757.50 = 21,553,757.50 : x
  2. Step 2: Convert to fraction form
    10,201,217/21,553,757.50 = 21,553,757.50/x
  3. Step 3: Cross multiply
    10,201,217x = 21,553,757.50 × 21,553,757.50
  4. Step 4: Simplify right side
    10,201,217x = 464,564,462,368,806.25
  5. Step 5: Solve for x
    x = 464,564,462,368,806.25/10,201,217
  6. Step 6: Final answer
    x = 45,540,101.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.