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Finding the Third Proportional to 32,042,441 and 49,646,901

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Solution

The third proportional to 32,042,441 and 49,646,901 is: 76,923,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042,441 : 49,646,901 = 49,646,901 : x
  2. Step 2: Convert to fraction form
    32,042,441/49,646,901 = 49,646,901/x
  3. Step 3: Cross multiply
    32,042,441x = 49,646,901 × 49,646,901
  4. Step 4: Simplify right side
    32,042,441x = 2,464,814,778,903,801
  5. Step 5: Solve for x
    x = 2,464,814,778,903,801/32,042,441
  6. Step 6: Final answer
    x = 76,923,439.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.