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Finding the Third Proportional to 32,051,928 and 49,661,248

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Solution

The third proportional to 32,051,928 and 49,661,248 is: 76,945,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051,928 : 49,661,248 = 49,661,248 : x
  2. Step 2: Convert to fraction form
    32,051,928/49,661,248 = 49,661,248/x
  3. Step 3: Cross multiply
    32,051,928x = 49,661,248 × 49,661,248
  4. Step 4: Simplify right side
    32,051,928x = 2,466,239,552,917,504
  5. Step 5: Solve for x
    x = 2,466,239,552,917,504/32,051,928
  6. Step 6: Final answer
    x = 76,945,123.33

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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.