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Finding the Third Proportional to 32,042,385 and 49,646,823

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Solution

The third proportional to 32,042,385 and 49,646,823 is: 76,923,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042,385 : 49,646,823 = 49,646,823 : x
  2. Step 2: Convert to fraction form
    32,042,385/49,646,823 = 49,646,823/x
  3. Step 3: Cross multiply
    32,042,385x = 49,646,823 × 49,646,823
  4. Step 4: Simplify right side
    32,042,385x = 2,464,807,033,993,329
  5. Step 5: Solve for x
    x = 2,464,807,033,993,329/32,042,385
  6. Step 6: Final answer
    x = 76,923,332.45

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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.