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Finding the Third Proportional to 22,899,204.50 and 49,385,534.50

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Solution

The third proportional to 22,899,204.50 and 49,385,534.50 is: 106,507,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899,204.50 : 49,385,534.50 = 49,385,534.50 : x
  2. Step 2: Convert to fraction form
    22,899,204.50/49,385,534.50 = 49,385,534.50/x
  3. Step 3: Cross multiply
    22,899,204.50x = 49,385,534.50 × 49,385,534.50
  4. Step 4: Simplify right side
    22,899,204.50x = 2,438,931,017,850,690
  5. Step 5: Solve for x
    x = 2,438,931,017,850,690/22,899,204.50
  6. Step 6: Final answer
    x = 106,507,237.74

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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.