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Finding the Third Proportional to 10,201,212 and 21,553,747.50

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Solution

The third proportional to 10,201,212 and 21,553,747.50 is: 45,540,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201,212 : 21,553,747.50 = 21,553,747.50 : x
  2. Step 2: Convert to fraction form
    10,201,212/21,553,747.50 = 21,553,747.50/x
  3. Step 3: Cross multiply
    10,201,212x = 21,553,747.50 × 21,553,747.50
  4. Step 4: Simplify right side
    10,201,212x = 464,564,031,293,756.25
  5. Step 5: Solve for x
    x = 464,564,031,293,756.25/10,201,212
  6. Step 6: Final answer
    x = 45,540,082.03

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