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Finding the Third Proportional to 9,552,537 and 20,183,272.50

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Solution

The third proportional to 9,552,537 and 20,183,272.50 is: 42,644,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,552,537 : 20,183,272.50 = 20,183,272.50 : x
  2. Step 2: Convert to fraction form
    9,552,537/20,183,272.50 = 20,183,272.50/x
  3. Step 3: Cross multiply
    9,552,537x = 20,183,272.50 × 20,183,272.50
  4. Step 4: Simplify right side
    9,552,537x = 407,364,488,809,256.25
  5. Step 5: Solve for x
    x = 407,364,488,809,256.25/9,552,537
  6. Step 6: Final answer
    x = 42,644,638.68

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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.