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Finding the Third Proportional to 38,375,794 and 83,475,415

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Solution

The third proportional to 38,375,794 and 83,475,415 is: 181,576,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,375,794 : 83,475,415 = 83,475,415 : x
  2. Step 2: Convert to fraction form
    38,375,794/83,475,415 = 83,475,415/x
  3. Step 3: Cross multiply
    38,375,794x = 83,475,415 × 83,475,415
  4. Step 4: Simplify right side
    38,375,794x = 6,968,144,909,422,225
  5. Step 5: Solve for x
    x = 6,968,144,909,422,225/38,375,794
  6. Step 6: Final answer
    x = 181,576,566.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.