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Finding the Third Proportional to 49,509,396 and 75,687,210

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Solution

The third proportional to 49,509,396 and 75,687,210 is: 115,706,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509,396 : 75,687,210 = 75,687,210 : x
  2. Step 2: Convert to fraction form
    49,509,396/75,687,210 = 75,687,210/x
  3. Step 3: Cross multiply
    49,509,396x = 75,687,210 × 75,687,210
  4. Step 4: Simplify right side
    49,509,396x = 5,728,553,757,584,100
  5. Step 5: Solve for x
    x = 5,728,553,757,584,100/49,509,396
  6. Step 6: Final answer
    x = 115,706,395.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.