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Finding the Third Proportional to 51,368,542.50 and 75,209,901

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Solution

The third proportional to 51,368,542.50 and 75,209,901 is: 110,116,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,368,542.50 : 75,209,901 = 75,209,901 : x
  2. Step 2: Convert to fraction form
    51,368,542.50/75,209,901 = 75,209,901/x
  3. Step 3: Cross multiply
    51,368,542.50x = 75,209,901 × 75,209,901
  4. Step 4: Simplify right side
    51,368,542.50x = 5,656,529,208,429,801
  5. Step 5: Solve for x
    x = 5,656,529,208,429,801/51,368,542.50
  6. Step 6: Final answer
    x = 110,116,599.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.