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Finding the Third Proportional to 49,529,827 and 75,042,693

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Solution

The third proportional to 49,529,827 and 75,042,693 is: 113,697,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529,827 : 75,042,693 = 75,042,693 : x
  2. Step 2: Convert to fraction form
    49,529,827/75,042,693 = 75,042,693/x
  3. Step 3: Cross multiply
    49,529,827x = 75,042,693 × 75,042,693
  4. Step 4: Simplify right side
    49,529,827x = 5,631,405,772,692,249
  5. Step 5: Solve for x
    x = 5,631,405,772,692,249/49,529,827
  6. Step 6: Final answer
    x = 113,697,263.12

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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.