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Finding the Third Proportional to 22,008,465 and 48,268,453.50

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Solution

The third proportional to 22,008,465 and 48,268,453.50 is: 105,861,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,008,465 : 48,268,453.50 = 48,268,453.50 : x
  2. Step 2: Convert to fraction form
    22,008,465/48,268,453.50 = 48,268,453.50/x
  3. Step 3: Cross multiply
    22,008,465x = 48,268,453.50 × 48,268,453.50
  4. Step 4: Simplify right side
    22,008,465x = 2,329,843,603,281,662
  5. Step 5: Solve for x
    x = 2,329,843,603,281,662/22,008,465
  6. Step 6: Final answer
    x = 105,861,249.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.