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Finding the Third Proportional to 51,368,620 and 75,210,009

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Solution

The third proportional to 51,368,620 and 75,210,009 is: 110,116,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,368,620 : 75,210,009 = 75,210,009 : x
  2. Step 2: Convert to fraction form
    51,368,620/75,210,009 = 75,210,009/x
  3. Step 3: Cross multiply
    51,368,620x = 75,210,009 × 75,210,009
  4. Step 4: Simplify right side
    51,368,620x = 5,656,545,453,780,081
  5. Step 5: Solve for x
    x = 5,656,545,453,780,081/51,368,620
  6. Step 6: Final answer
    x = 110,116,749.37

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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.