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Finding the Third Proportional to 22,899,201 and 49,385,527.50

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Solution

The third proportional to 22,899,201 and 49,385,527.50 is: 106,507,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899,201 : 49,385,527.50 = 49,385,527.50 : x
  2. Step 2: Convert to fraction form
    22,899,201/49,385,527.50 = 49,385,527.50/x
  3. Step 3: Cross multiply
    22,899,201x = 49,385,527.50 × 49,385,527.50
  4. Step 4: Simplify right side
    22,899,201x = 2,438,930,326,453,256
  5. Step 5: Solve for x
    x = 2,438,930,326,453,256/22,899,201
  6. Step 6: Final answer
    x = 106,507,223.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.