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Finding the Third Proportional to 74,787,624 and 114,882,907.50

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Solution

The third proportional to 74,787,624 and 114,882,907.50 is: 176,474,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,787,624 : 114,882,907.50 = 114,882,907.50 : x
  2. Step 2: Convert to fraction form
    74,787,624/114,882,907.50 = 114,882,907.50/x
  3. Step 3: Cross multiply
    74,787,624x = 114,882,907.50 × 114,882,907.50
  4. Step 4: Simplify right side
    74,787,624x = 13,198,082,435,653,556
  5. Step 5: Solve for x
    x = 13,198,082,435,653,556/74,787,624
  6. Step 6: Final answer
    x = 176,474,150.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.