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Finding the Third Proportional to 49,072,344 and 74,296,260

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Solution

The third proportional to 49,072,344 and 74,296,260 is: 112,485,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,072,344 : 74,296,260 = 74,296,260 : x
  2. Step 2: Convert to fraction form
    49,072,344/74,296,260 = 74,296,260/x
  3. Step 3: Cross multiply
    49,072,344x = 74,296,260 × 74,296,260
  4. Step 4: Simplify right side
    49,072,344x = 5,519,934,249,987,600
  5. Step 5: Solve for x
    x = 5,519,934,249,987,600/49,072,344
  6. Step 6: Final answer
    x = 112,485,644.66

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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.