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Finding the Third Proportional to 2,163,831.75 and 4,686,735.38

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Solution

The third proportional to 2,163,831.75 and 4,686,735.38 is: 10,151,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,831.75 : 4,686,735.38 = 4,686,735.38 : x
  2. Step 2: Convert to fraction form
    2,163,831.75/4,686,735.38 = 4,686,735.38/x
  3. Step 3: Cross multiply
    2,163,831.75x = 4,686,735.38 × 4,686,735.38
  4. Step 4: Simplify right side
    2,163,831.75x = 21,965,488,475,276.39
  5. Step 5: Solve for x
    x = 21,965,488,475,276.39/2,163,831.75
  6. Step 6: Final answer
    x = 10,151,199.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.