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Finding the Third Proportional to 49,529,838 and 75,042,706.50

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Solution

The third proportional to 49,529,838 and 75,042,706.50 is: 113,697,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529,838 : 75,042,706.50 = 75,042,706.50 : x
  2. Step 2: Convert to fraction form
    49,529,838/75,042,706.50 = 75,042,706.50/x
  3. Step 3: Cross multiply
    49,529,838x = 75,042,706.50 × 75,042,706.50
  4. Step 4: Simplify right side
    49,529,838x = 5,631,407,798,845,142
  5. Step 5: Solve for x
    x = 5,631,407,798,845,142/49,529,838
  6. Step 6: Final answer
    x = 113,697,278.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.