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Finding the Third Proportional to 27,620,901 and 41,815,223.50

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Solution

The third proportional to 27,620,901 and 41,815,223.50 is: 63,303,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,620,901 : 41,815,223.50 = 41,815,223.50 : x
  2. Step 2: Convert to fraction form
    27,620,901/41,815,223.50 = 41,815,223.50/x
  3. Step 3: Cross multiply
    27,620,901x = 41,815,223.50 × 41,815,223.50
  4. Step 4: Simplify right side
    27,620,901x = 1,748,512,916,354,952.25
  5. Step 5: Solve for x
    x = 1,748,512,916,354,952.25/27,620,901
  6. Step 6: Final answer
    x = 63,303,978.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.